#9326: Add cohomology of toric varieties
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Reporter: vbraun | Owner: AlexGhitza
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.5.2
Component: algebraic geometry | Keywords:
Author: Volker Braun | Upstream: N/A
Reviewer: Andrey Novoseltsev | Merged:
Work_issues: |
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Old description:
> This patch adds a cohomology ring to toric varieties. This is then used
> for characteristic classes.
>
> I'm using the usual description of the rational cohomology ring via the
> Stanley-Reisner ideal of the fan. This does not work for singular
> varities with worse than orbifold singularities. I don't have any good
> candidate for the "space where the Chern classes live" in that case.
>
> Prerequisites:
> * #9245: Add library of toric varieties.
New description:
This patch adds a cohomology ring to toric varieties. This is then used
for characteristic classes.
I'm using the usual description of the rational cohomology ring via the
Stanley-Reisner ideal of the fan. This does not work for singular varities
with worse than orbifold singularities. I don't have any good candidate
for the "space where the Chern classes live" in that case.
For prerequisites, see the tracker bug at #9604
--
Comment(by vbraun):
Updated patch `trac_9326_toric_variety_cohomology.patch` to fix coverage
warnings.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9326#comment:18>
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