attributes.jl

##########################################
### (1) General attributes
##########################################

@doc raw"""
    base_space(m::AbstractFTheoryModel)

Return the base space of the F-theory model.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> base_space(m)
A family of spaces of dimension d = 3
```
"""
function base_space(m::AbstractFTheoryModel)
  is_base_space_fully_specified(m) || @vprint :FTheoryModelPrinter 1 "Base space was not fully specified. Returning AUXILIARY base space.\n"
  return m.base_space
end


@doc raw"""
    ambient_space(m::AbstractFTheoryModel)

Return the ambient space of the F-theory model.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> ambient_space(m)
A family of spaces of dimension d = 5
```
"""
function ambient_space(m::AbstractFTheoryModel)
  is_base_space_fully_specified(m) || @vprint :FTheoryModelPrinter 1 "Base space was not fully specified. Returning AUXILIARY ambient space.\n"
  return m.ambient_space
end


@doc raw"""
    fiber_ambient_space(m::AbstractFTheoryModel)

Return the fiber ambient space of an F-theory model.

```jldoctest
julia> t = su5_tate_model_over_arbitrary_3d_base()
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base

julia> fiber_ambient_space(t)
Normal toric variety
```
"""
function fiber_ambient_space(m::AbstractFTheoryModel)
  @req hasfield(typeof(m), :fiber_ambient_space) "fiber_ambient_space not supported for this F-theory model"
  return m.fiber_ambient_space
end


@doc raw"""
    explicit_model_sections(m::AbstractFTheoryModel)

Return the model sections in explicit form, that
is as polynomials of the base space coordinates.

```jldoctest
julia> t = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> explicit_model_sections(t)
Dict{String, QQMPolyRingElem} with 9 entries:
  "a6"  => 0
  "a21" => a21
  "a3"  => w^2*a32
  "w"   => w
  "a2"  => w*a21
  "a1"  => a1
  "a4"  => w^3*a43
  "a43" => a43
  "a32" => a32
```
"""
function explicit_model_sections(m::AbstractFTheoryModel)
  @req hasfield(typeof(m), :explicit_model_sections) "explicit_model_sections not supported for this F-theory model"
  return m.explicit_model_sections
end


@doc raw"""
    defining_section_parametrization(m::AbstractFTheoryModel)

Return the model sections in explicit form, that
is as polynomials of the base space coordinates.

```jldoctest
julia> t = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> defining_section_parametrization(t)
Dict{String, MPolyRingElem} with 4 entries:
  "a6" => 0
  "a3" => w^2*a32
  "a2" => w*a21
  "a4" => w^3*a43
```
"""
function defining_section_parametrization(m::AbstractFTheoryModel)
  @req hasfield(typeof(m), :defining_section_parametrization) "defining_section_parametrization not supported for this F-theory model"
  return m.defining_section_parametrization
end



##########################################
### (2) Meta data attributes
##########################################

@doc raw"""
    arxiv_id(m::AbstractFTheoryModel)

Return the `arxiv_id` of the preprint that introduced
the given model. If no `arxiv_id` is
known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> arxiv_id(m)
"1109.3454"
```
"""
function arxiv_id(m::AbstractFTheoryModel)
  @req has_arxiv_id(m) "No arxiv identifier known for this model"
  return get_attribute(m, :arxiv_id)
end


@doc raw"""
    arxiv_doi(m::AbstractFTheoryModel)

Return the `arxiv_doi` of the preprint that introduced
the given model. If no `arxiv_doi` is
known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> arxiv_doi(m)
"10.48550/arXiv.1109.3454"
```
"""
function arxiv_doi(m::AbstractFTheoryModel)
  @req has_arxiv_doi(m) "No arXiv DOI known for this model"
  return get_attribute(m, :arxiv_doi)
end


@doc raw"""
    arxiv_link(m::AbstractFTheoryModel)

Return the `arxiv_link` (formatted as string) to the arXiv
version of the paper that introduced the given model.
If no `arxiv_link` is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> arxiv_link(m)
"https://arxiv.org/abs/1109.3454v2"
```
"""
function arxiv_link(m::AbstractFTheoryModel)
  @req has_arxiv_link(m) "No arXiv link known for this model"
  return get_attribute(m, :arxiv_link)
end


@doc raw"""
    arxiv_model_equation_number(m::AbstractFTheoryModel)

Return the `arxiv_model_equation_number` in which the given model was introduced
in the arXiv preprint in our record. If no `arxiv_model_equation_number`
is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> arxiv_model_equation_number(m)
"3.1"
```
"""
function arxiv_model_equation_number(m::AbstractFTheoryModel)
  @req has_arxiv_model_equation_number(m) "No arXiv equation number known for this model"
  return get_attribute(m, :arxiv_model_equation_number)
end


@doc raw"""
    arxiv_model_page(m::AbstractFTheoryModel)

Return the `arxiv_model_page` on which the given model was introduced
in the arXiv preprint in our record. If no `arxiv_model_page`
is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> arxiv_model_page(m)
"10"
```
"""
function arxiv_model_page(m::AbstractFTheoryModel)
  @req has_arxiv_model_page(m) "No arXiv page number known for this model"
  return get_attribute(m, :arxiv_model_page)
end


@doc raw"""
    arxiv_model_section(m::AbstractFTheoryModel)

Return the `arxiv_model_section` in which the given model was introduced
in the arXiv preprint in our record. If no `arxiv_model_section`
is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> arxiv_model_section(m)
"3"
```
"""
function arxiv_model_section(m::AbstractFTheoryModel)
  @req has_arxiv_model_section(m) "No arXiv section number known for this model"
  return get_attribute(m, :arxiv_model_section)
end


@doc raw"""
    arxiv_version(m::AbstractFTheoryModel)

Return the `arxiv_version` of the arXiv preprint that
introduced the given model. If no
`arxiv_version` is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> arxiv_version(m)
"2"
```
"""
function arxiv_version(m::AbstractFTheoryModel)
  @req has_arxiv_version(m) "No arXiv version known for this model"
  return get_attribute(m, :arxiv_version)
end


@doc raw"""
    associated_literature_models(m::AbstractFTheoryModel)

Return a list of the unique identifiers any `associated_literature_models` of
the given model. These are either other presentations (Weierstrass, Tate, ...)
of the given model, or other version of the same model from a different paper
in the literature. If no `associated_literature_models` are known,
an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1507.05954", equation = "A.1")
Assuming that the first row of the given grading is the grading under Kbar

Weierstrass model over a not fully specified base -- U(1)xU(1) Weierstrass model based on arXiv paper 1507.05954 Eq. (A.1)

julia> associated_literature_models(m)
1-element Vector{String}:
 "1507_05954-1"
```
"""
function associated_literature_models(m::AbstractFTheoryModel)
  @req has_associated_literature_models(m) "No associated models known for this model"
  return get_attribute(m, :associated_literature_models)
end


@doc raw"""
    journal_doi(m::AbstractFTheoryModel)

Return the `journal_doi` of the publication that introduced
the given model. If no `journal_doi` is
known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> journal_doi(m)
"10.1016/j.nuclphysb.2011.12.013"
```
"""
function journal_doi(m::AbstractFTheoryModel)
  @req has_journal_doi(m) "No journal DOI known for this model"
  return get_attribute(m, :journal_doi)
end


@doc raw"""
    journal_link(m::AbstractFTheoryModel)

Return the `journal_link` (formatted as string) to the published
version of the paper that introduced the given model.
If no `journal_link` is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> journal_link(m)
"https://www.sciencedirect.com/science/article/pii/S0550321311007115"
```
"""
function journal_link(m::AbstractFTheoryModel)
  @req has_journal_link(m) "No journal link known for this model"
  return get_attribute(m, :journal_link)
end


@doc raw"""
    journal_model_equation_number(m::AbstractFTheoryModel)

Return the `journal_model_equation_number` in which the given model was introduced
in the published paper in our record. If no `journal_model_equation_number`
is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> journal_model_equation_number(m)
"3.1"
```
"""
function journal_model_equation_number(m::AbstractFTheoryModel)
  @req has_journal_model_equation_number(m) "No journal equation number known for this model"
  return get_attribute(m, :journal_model_equation_number)
end


@doc raw"""
    journal_model_page(m::AbstractFTheoryModel)

Return the `journal_model_page` on which the given model was introduced
in the published paper in our record. If no `journal_model_page`
is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> journal_model_page(m)
"9"
```
"""
function journal_model_page(m::AbstractFTheoryModel)
  @req has_journal_model_page(m) "No journal page number known for this model"
  return get_attribute(m, :journal_model_page)
end


@doc raw"""
    journal_model_section(m::AbstractFTheoryModel)

Return the `journal_model_section` in which the given model was introduced
in the published paper in our record. If no `journal_model_section`
is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> journal_model_section(m)
"3"
```
"""
function journal_model_section(m::AbstractFTheoryModel)
  @req has_journal_model_section(m) "No journal section number known for this model"
  return get_attribute(m, :journal_model_section)
end


@doc raw"""
    journal_pages(m::AbstractFTheoryModel)

Return the `journal_pages` of the published paper in which the given model was introduced.
If no `journal_pages` are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> journal_pages(m)
"1–47"
```
"""
function journal_pages(m::AbstractFTheoryModel)
  @req has_journal_pages(m) "No journal pages known for this model"
  return get_attribute(m, :journal_pages)
end


@doc raw"""
    journal_report_numbers(m::AbstractFTheoryModel)

Return the `journal_report_numbers` of the published paper in which the given model was introduced.
If no `journal_report_numbers` is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1507.05954", equation = "A.1")
Assuming that the first row of the given grading is the grading under Kbar

Weierstrass model over a not fully specified base -- U(1)xU(1) Weierstrass model based on arXiv paper 1507.05954 Eq. (A.1)

julia> journal_report_numbers(m)
3-element Vector{String}:
 "UPR-1274-T"
 "CERN-PH-TH-2015-157"
 "MIT-CTP-4678"
```
"""
function journal_report_numbers(m::AbstractFTheoryModel)
  @req has_journal_report_numbers(m) "No journal report numbers known for this model"
  return get_attribute(m, :journal_report_numbers)
end


@doc raw"""
    journal_volume(m::AbstractFTheoryModel)

Return the `journal_volume` of the published paper in which the given model was introduced.
If no `journal_volume` are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> journal_volume(m)
"858"
```
"""
function journal_volume(m::AbstractFTheoryModel)
  @req has_journal_volume(m) "No journal volume known for this model"
  return get_attribute(m, :journal_volume)
end


@doc raw"""
    journal_name(m::AbstractFTheoryModel)

Return the `journal_volume` of the published paper in which the given model was introduced.
If no `journal_volume` are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> journal_volume(m)
"858"
```
"""
function journal_name(m::AbstractFTheoryModel)
@req has_journal_name(m) "No journal volume known for this model"
  return get_attribute(m, :journal_name)
end


@doc raw"""
    journal_year(m::AbstractFTheoryModel)

Return the `journal_year` of the published paper in which the given model was introduced.
If no `journal_year` is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> journal_year(m)
"2012"
```
"""
function journal_year(m::AbstractFTheoryModel)
  @req has_journal_year(m) "No journal year known for this model"
  return get_attribute(m, :journal_year)
end


@doc raw"""
    literature_identifier(m::AbstractFTheoryModel)

Return the `literature_identifier` of the given mode, which is a unique string
that distinguishes the model from all others in the literature model database.
If no `literature_identifier` is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> literature_identifier(m)
"1109_3454"
```
"""
function literature_identifier(m::AbstractFTheoryModel)
  @req has_literature_identifier(m) "No literature identifier known for this model"
  return get_attribute(m, :literature_identifier)
end


@doc raw"""
    model_description(m::AbstractFTheoryModel)

Return the `model_description` of the given model.
If no `model_description` is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> model_description(m)
"SU(5)xU(1) restricted Tate model"
```
"""
function model_description(m::AbstractFTheoryModel)
  @req has_model_description(m) "No model description known for this model"
  return get_attribute(m, :model_description)
end


@doc raw"""
    model_parameters(m::AbstractFTheoryModel)

Return the `model_parameters` of the given model.
If no `model_parameters` are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1212.2949", equation = "3.2", model_parameters = Dict("k" => 5))
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(2k+1) Tate model with parameter values (k = 5) based on arXiv paper 1212.2949 Eq. (3.2)

julia> model_parameters(m)
Dict{String, Int64} with 1 entry:
  "k" => 5
```
"""
function model_parameters(m::AbstractFTheoryModel)
  @req has_model_parameters(m) "No model parameters known for this model"
  return get_attribute(m, :model_parameters)
end


@doc raw"""
    paper_authors(m::AbstractFTheoryModel)

Return the `paper_authors` of the paper that introduced the given model.
If no `paper_authors` are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> paper_authors(m)
3-element Vector{String}:
 "Sven Krause"
 "Christoph Mayrhofer"
 "Timo Weigand"
```
"""
function paper_authors(m::AbstractFTheoryModel)
  @req has_paper_authors(m) "No paper authors known for this model"
  return get_attribute(m, :paper_authors)
end


@doc raw"""
    paper_buzzwords(m::AbstractFTheoryModel)

Return the `paper_buzzwords` of the paper that introduced the given model.
If no `paper_buzzwords` are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> paper_buzzwords(m)
4-element Vector{String}:
 "GUT model"
 "Tate"
 "U(1)"
 "SU(5)"
```
"""
function paper_buzzwords(m::AbstractFTheoryModel)
  @req has_paper_buzzwords(m) "No paper buzzwords known for this model"
  return get_attribute(m, :paper_buzzwords)
end


@doc raw"""
    paper_description(m::AbstractFTheoryModel)

Return the `paper_description` of the paper that introduced the given model.
If no `paper_description` is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> paper_description(m)
"SU(5)xU(1) restricted Tate model"
```
"""
function paper_description(m::AbstractFTheoryModel)
  @req has_paper_description(m) "No paper description known for this model"
  return get_attribute(m, :paper_description)
end


@doc raw"""
    paper_title(m::AbstractFTheoryModel)

Return the `paper_title` of the arXiv preprint that introduced the given model.
If no `paper_title` is known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> paper_title(m)
"\$G_4\$ flux, chiral matter and singularity resolution in F-theory compactifications"
```
"""
function paper_title(m::AbstractFTheoryModel)
  @req has_paper_title(m) "No paper title known for this model"
  return get_attribute(m, :paper_title)
end


@doc raw"""
    related_literature_models(m::AbstractFTheoryModel)

Return a list of the unique identifiers of any `related_literature_models` of
the given model. These are models that are introduced in the same paper as
the given model, but that are distinct from the given model. If no
`related_literature_models` are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1212.2949", equation = "3.2", model_parameters = Dict("k" => 5))
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(2k+1) Tate model with parameter values (k = 5) based on arXiv paper 1212.2949 Eq. (3.2)

julia> related_literature_models(m)
6-element Vector{String}:
 "1212_2949-2"
 "1212_2949-3"
 "1212_2949-4"
 "1212_2949-5"
 "1212_2949-6"
 "1212_2949-7"
```
"""
function related_literature_models(m::AbstractFTheoryModel)
  @req has_related_literature_models(m) "No related models known for this model"
  return get_attribute(m, :related_literature_models)
end



##########################################
### (3) Specialized model attributes
##########################################

@doc raw"""
    generating_sections(m::AbstractFTheoryModel)

Return a list of the known Mordell–Weil generating sections of
the given model.  If no generating sections are known,
an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> generating_sections(m)
1-element Vector{Vector{QQMPolyRingElem}}:
 [0, 0, 1]
```
"""
function generating_sections(m::AbstractFTheoryModel)
  @req has_generating_sections(m) "No generating sections known for this model"
  return get_attribute(m, :generating_sections)
end


@doc raw"""
    resolutions(m::AbstractFTheoryModel)

Return the list of all known resolutions for the given model.
If no resolutions are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> resolutions(m)
1-element Vector{Vector{Vector}}:
 [[["x", "y", "w"], ["y", "e1"], ["x", "e4"], ["y", "e2"], ["x", "y"]], ["e1", "e4", "e2", "e3", "s"]]
```
"""
function resolutions(m::AbstractFTheoryModel)
  @req has_resolutions(m) "No resolutions known for this model"
  return get_attribute(m, :resolutions)
end


@doc raw"""
    resolution_generating_sections(m::AbstractFTheoryModel)

Return a list of lists of known Mordell–Weil generating sections
for the given model after each known resolution. Each element of
the outer list corresponds to a known resolution (in the same order),
and each element of the list associated to a given resolution
corresponds to a known generating section (in the same order).
If no resolution generating sections are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> resolution_generating_sections(m)
1-element Vector{Vector{Vector{Vector{QQMPolyRingElem}}}}:
 [[[0, 0, 1], [0, 0, 1], [0, 1], [0, 1], [0, 1], [a32, -a43]]]
```
"""
function resolution_generating_sections(m::AbstractFTheoryModel)
  @req has_resolution_generating_sections(m) "No resolution generating sections known for this model"
  return get_attribute(m, :resolution_generating_sections)
end


@doc raw"""
    resolution_zero_sections(m::AbstractFTheoryModel)

Return a list of known Mordell–Weil zero sections for the
given model after each known resolution. Each element of the
list corresponds to a known resolution (in the same order).
If no resolution zero sections are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> resolution_zero_sections(m)
1-element Vector{Vector{Vector{QQMPolyRingElem}}}:
 [[1, 1, 0], [1, 1, w], [1, 1], [1, 1], [1, 1], [1, 1]]
```
"""
function resolution_zero_sections(m::AbstractFTheoryModel)
  @req has_resolution_zero_sections(m) "No resolution zero sections known for this model"
  return get_attribute(m, :resolution_zero_sections)
end


@doc raw"""
    weighted_resolutions(m::AbstractFTheoryModel)

Return the list of all known weighted resolutions for the given model.
If no weighted resolutions are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> weighted_resolutions(m)
1-element Vector{Vector{Vector}}:
 [Vector{Vector{Any}}[[["x", "y", "w"], [1, 1, 1]], [["x", "y", "w"], [1, 2, 1]], [["x", "y", "w"], [2, 2, 1]], [["x", "y", "w"], [2, 3, 1]], [["x", "y"], [1, 1]]], ["e1", "e4", "e2", "e3", "s"]]
```
"""
function weighted_resolutions(m::AbstractFTheoryModel)
  @req has_weighted_resolutions(m) "No weighted resolutions known for this model"
  return get_attribute(m, :weighted_resolutions)
end


@doc raw"""
    weighted_resolution_generating_sections(m::AbstractFTheoryModel)

Return a list of lists of known Mordell–Weil generating sections
for the given model after each known weighted resolution. Each element of
the outer list corresponds to a known weighted resolution (in the same order),
and each element of the list associated to a given weighted resolution
corresponds to a known generating section (in the same order).
If no weighted resolution generating sections are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> weighted_resolution_generating_sections(m)
1-element Vector{Vector{Vector{Vector{QQMPolyRingElem}}}}:
 [[[0, 0, 1], [0, 0, 1], [0, 0, 1], [0, 0, 1], [0, 0, 1], [a32, -a43]]]
```
"""
function weighted_resolution_generating_sections(m::AbstractFTheoryModel)
  @req has_weighted_resolution_generating_sections(m) "No weighted resolution generating sections known for this model"
  return get_attribute(m, :weighted_resolution_generating_sections)
end


@doc raw"""
    weighted_resolution_zero_sections(m::AbstractFTheoryModel)

Return a list of known Mordell–Weil zero sections for the
given model after each known weighted resolution. Each element of the
list corresponds to a known weighted resolution (in the same order).
If no weighted resolution zero sections are known, an error is raised.

```jldoctest
julia> m = literature_model(arxiv_id = "1109.3454", equation = "3.1")
Assuming that the first row of the given grading is the grading under Kbar

Global Tate model over a not fully specified base -- SU(5)xU(1) restricted Tate model based on arXiv paper 1109.3454 Eq. (3.1)

julia> weighted_resolution_zero_sections(m)
1-element Vector{Vector{Vector{QQMPolyRingElem}}}:
 [[1, 1, 0], [1, 1, w], [1, 1, w], [1, 1, w], [1, 1, w], [1, 1]]
```
"""
function weighted_resolution_zero_sections(m::AbstractFTheoryModel)
  @req has_weighted_resolution_zero_sections(m) "No weighted resolution zero sections known for this model"
  return get_attribute(m, :weighted_resolution_zero_sections)
end


# This example cannot be used until we support literature hypersurface models
# At that point, we should simply be able to uncomment this block

@doc raw"""
    zero_section(m::AbstractFTheoryModel)

Return the zero section of the given model.
If no zero section is known, an error is raised.
This information is not typically stored as an attribute for
Weierstrass and global Tate models, whose zero sections are known.

```jldoctest
julia> h = literature_model(arxiv_id = "1208.2695", equation = "B.5")
Assuming that the first row of the given grading is the grading under Kbar

Hypersurface model over a not fully specified base

julia> zero_section(h)
3-element Vector{QQMPolyRingElem}:
 0
 1
 0
```
"""
function zero_section(m::AbstractFTheoryModel)
  @req has_zero_section(m) "No zero section stored for this model"
  return get_attribute(m, :zero_section)
end