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Schemes Meta Issue #3202

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6 of 10 tasks
simonbrandhorst opened this issue Jan 19, 2024 · 1 comment
Open
6 of 10 tasks

Schemes Meta Issue #3202

simonbrandhorst opened this issue Jan 19, 2024 · 1 comment
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enhancement New feature or request topic: schemes

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@simonbrandhorst
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simonbrandhorst commented Jan 19, 2024

This is a todo list for the schemes part of OSCAR

  • implement defining_ideal(::AbsSpec). In case of a closed subscheme of AA^n it should return an ideal in the corresponding polynomial ring, in case of a closed subscheme of some open subscheme U of AA^n it should return an ideal in OO(U) Remove ambient closure ideal #3205
  • rename Spec to AffineScheme Rename Spec to AffineScheme #3345
  • change one line printing of closed subschemes of AA^n from V(...) to scheme(...)
  • rename issubset for (affine & projective) schemes to is_subscheme and implement issubset
  • migrate ideal sheaves and divisors to src
  • implement weighted projective space including is_quasi_smooth
    @jankoboehm @HechtiDerLachs @afkafkafk13 @paemurru
  • implement normalisation for affine schemes
  • implement normalisation for covered schemes
  • desungularisation for (covered) surfaces via blowup and normalisation
  • check if the singular code for invert_birational_map works more generally and adapt it. Remove the duplicate for plane curves.
@HechtiDerLachs
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Let me try to do the defining_ideal thing today.

simonbrandhorst pushed a commit that referenced this issue Jan 29, 2024
* Rename issubset to is_subscheme for schemes
ooinaruhugh pushed a commit to ooinaruhugh/Oscar.jl that referenced this issue Feb 15, 2024
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Labels
enhancement New feature or request topic: schemes
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