#9326: Add cohomology of toric varieties
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Reporter: vbraun | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.5
Component: algebraic geometry | Keywords:
Author: Volker Braun | Upstream: N/A
Reviewer: Andrey Novoseltsev | Merged:
Work_issues: |
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Comment(by novoselt):
Replying to [comment:6 vbraun]:
> As for the cones, once I get to the Chow group it would also be nice if
`cone.A()` would return the Chow cycle associated to the cone. And a cone
should be able to return the orbit closure as a toric variety. Really, in
toric geometry there is lots of stuff associated to a cone and it would be
nice if we could write `cone.stuff()`.
OK, will work on it this week.
> As for the cohomology ring, I did the name changes. The new patch also
defines classes `CohomologyRing(QuotientRing)` and
`CohomologyClass(QuotientRingElement)`, so we have something to attach
`exp()` and `truncate_to_degree()` to.
Great and neat! However, http://wiki.sagemath.org/coercion advises against
overriding `__call__` method in classes derived from `Parent`, and in this
case I think it should be doable to do it the recommended way.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9326#comment:7>
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