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standard_constructions.jl
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standard_constructions.jl
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########################
# 1: Special attributes of toric varieties
########################
@doc raw"""
trivial_divisor_class(v::NormalToricVarietyType)
Construct the trivial divisor class of a normal toric variety.
# Examples
```jldoctest
julia> v = projective_space(NormalToricVariety, 2)
Normal toric variety
julia> trivial_divisor_class(v)
Divisor class on a normal toric variety
```
"""
@attr ToricDivisorClass trivial_divisor_class(v::NormalToricVarietyType) = toric_divisor_class(trivial_divisor(v))
@doc raw"""
anticanonical_divisor_class(v::NormalToricVarietyType)
Construct the anticanonical divisor class of a normal toric variety.
# Examples
```jldoctest
julia> v = projective_space(NormalToricVariety, 2)
Normal toric variety
julia> anticanonical_divisor_class(v)
Divisor class on a normal toric variety
```
"""
@attr ToricDivisorClass anticanonical_divisor_class(v::NormalToricVarietyType) = -canonical_divisor_class(v)
@doc raw"""
canonical_divisor_class(v::NormalToricVarietyType)
Construct the canonical divisor class of a normal toric variety.
# Examples
```jldoctest
julia> v = projective_space(NormalToricVariety, 2)
Normal toric variety
julia> canonical_divisor_class(v)
Divisor class on a normal toric variety
```
"""
@attr ToricDivisorClass canonical_divisor_class(v::NormalToricVarietyType) = toric_divisor_class(canonical_divisor(v))