#9326: Add cohomology of toric varieties
----------------------------------+-----------------------------------------
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: |
----------------------------------+-----------------------------------------
Changes (by novoselt):
* reviewer: => Andrey Novoseltsev
* milestone: => sage-4.5
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.
>
> Applies on top of
> * #9245: trac_9245_named_toric_varieties.py
> * #8988: trac_8988_Kahlercone_lattice.patch
> * #9296: trac_9296_lattice_computations_for_cones.patch
> and their prerequisites...
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.
Prerequisite: #9245: Add library of toric varieties.
--
Comment:
This patch applied cleanly on top of #9245, so it seems that there is no
need for Kaehler/Mori cones and cone-lattices computations. Let's keep it
this way then, since #9245 and all its prerequisites already got positive
review.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9326#comment:4>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
