Opened 2 years ago
Closed 2 years ago
#20227 closed enhancement (fixed)
Chow form for projective subschemes
Reported by:  bhutz  Owned by:  bhutz 

Priority:  minor  Milestone:  sage7.2 
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 settheoretically can be found, but they only describe the variety schemetheoretically if it is smooth or is a hypersurface.
Change History (11)
comment:1 Changed 2 years ago by
 Branch set to u/bhutz/ticket/20227
comment:2 Changed 2 years ago by
 Commit set to dff0605316012b4dc7495c3d5e0e7edf1a1aafc3
 Status changed from new to needs_review
comment:3 Changed 2 years ago by
 Commit changed from dff0605316012b4dc7495c3d5e0e7edf1a1aafc3 to d61ce1565994a287d5605f85235eb429f415de88
Branch pushed to git repo; I updated commit sha1. New commits:
d61ce15  Merge 7.2.beta6 into t/20227/ticket/20227

comment:4 Changed 2 years ago by
 Commit changed from d61ce1565994a287d5605f85235eb429f415de88 to 3f17e6de3b88fad5996002d7ef64378ba86c46c0
Branch pushed to git repo; I updated commit sha1. New commits:
3f17e6d  Merge branch 7.3.beta2 into t/20227/ticket/20227

comment:5 Changed 2 years ago by
 Commit changed from 3f17e6de3b88fad5996002d7ef64378ba86c46c0 to 98d09a41fbf11388fc7283d55db7be8748c019d4
Branch pushed to git repo; I updated commit sha1. New commits:
98d09a4  Merge 7.3.beta8 into t/20227/ticket/20227

comment:6 Changed 2 years ago by
 Reviewers set to Paul Fili
 Status changed from needs_review to positive_review
Everything looks good, examples tested all work.
comment:7 Changed 2 years ago by
 Status changed from positive_review to needs_work
Merge failure, wait for the next beta...
comment:8 Changed 2 years ago by
 Commit changed from 98d09a41fbf11388fc7283d55db7be8748c019d4 to ee28b37f458da0b994b3aed67bc2a6877e96540c
Branch pushed to git repo; I updated commit sha1. New commits:
ee28b37  Merge 7.3.rc0 into t/20227/ticket/20227

comment:9 Changed 2 years ago by
 Status changed from needs_work to needs_review
comment:10 Changed 2 years ago by
 Status changed from needs_review to positive_review
All tests passed, merge appears good, my own examples worked.
comment:11 Changed 2 years ago by
 Branch changed from u/bhutz/ticket/20227 to ee28b37f458da0b994b3aed67bc2a6877e96540c
 Resolution set to fixed
 Status changed from positive_review to closed
New commits:
20227: chow forms for projective subschemes