#20227: Chow form for projective subschemes
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Reporter: bhutz | Owner: bhutz
Type: enhancement | Status: new
Priority: minor | Milestone: sage-7.2
Component: algebraic geometry | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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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.
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Ticket URL: <http://trac.sagemath.org/ticket/20227>
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