#20227 closed enhancement (fixed)

Chow form for projective subschemes

Reported by: bhutz Owned by: bhutz
Priority: minor Milestone: sage-7.2
Component: algebraic geometry Keywords:
Cc: Merged in:
Authors: Ben Hutz Reviewers: Paul Fili
Report Upstream: N/A Work issues:
Branch: ee28b37 (Commits) Commit: ee28b37f458da0b994b3aed67bc2a6877e96540c
Dependencies: Stopgaps:

Description

The Chow form associated to a projective variety is a homogeneous equation in Plucker coordinates associated to the variety. It describes the variety as a hypersurface in a Grassmannian. It was introduced by Cayley and generalized by Chow and van der Warden.

This ticket has two tasks

  • Given a projective subscheme, compute the associated Chow form
  • Given a Chow form, compute the associated variety.

Chow form to variety: equations describing the variety set-theoretically can be found, but they only describe the variety scheme-theoretically if it is smooth or is a hypersurface.

Change History (11)

comment:1 Changed 19 months ago by bhutz

  • Branch set to u/bhutz/ticket/20227

comment:2 Changed 19 months ago by bhutz

  • Authors set to Ben Hutz
  • Commit set to dff0605316012b4dc7495c3d5e0e7edf1a1aafc3
  • Status changed from new to needs_review

New commits:

dff060520227: chow forms for projective subschemes

comment:3 Changed 17 months ago by git

  • Commit changed from dff0605316012b4dc7495c3d5e0e7edf1a1aafc3 to d61ce1565994a287d5605f85235eb429f415de88

Branch pushed to git repo; I updated commit sha1. New commits:

d61ce15Merge 7.2.beta6 into t/20227/ticket/20227

comment:4 Changed 16 months ago by git

  • Commit changed from d61ce1565994a287d5605f85235eb429f415de88 to 3f17e6de3b88fad5996002d7ef64378ba86c46c0

Branch pushed to git repo; I updated commit sha1. New commits:

3f17e6dMerge branch 7.3.beta2 into t/20227/ticket/20227

comment:5 Changed 14 months ago by git

  • Commit changed from 3f17e6de3b88fad5996002d7ef64378ba86c46c0 to 98d09a41fbf11388fc7283d55db7be8748c019d4

Branch pushed to git repo; I updated commit sha1. New commits:

98d09a4Merge 7.3.beta8 into t/20227/ticket/20227

comment:6 Changed 14 months ago by paulfili

  • Reviewers set to Paul Fili
  • Status changed from needs_review to positive_review

Everything looks good, examples tested all work.

comment:7 Changed 14 months ago by vbraun

  • Status changed from positive_review to needs_work

Merge failure, wait for the next beta...

comment:8 Changed 14 months ago by git

  • Commit changed from 98d09a41fbf11388fc7283d55db7be8748c019d4 to ee28b37f458da0b994b3aed67bc2a6877e96540c

Branch pushed to git repo; I updated commit sha1. New commits:

ee28b37Merge 7.3.rc0 into t/20227/ticket/20227

comment:9 Changed 14 months ago by bhutz

  • Status changed from needs_work to needs_review

comment:10 Changed 14 months ago by paulfili

  • Status changed from needs_review to positive_review

All tests passed, merge appears good, my own examples worked.

comment:11 Changed 14 months ago by vbraun

  • Branch changed from u/bhutz/ticket/20227 to ee28b37f458da0b994b3aed67bc2a6877e96540c
  • Resolution set to fixed
  • Status changed from positive_review to closed
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