#9296: Add lattice computations for convex polyhedral cones
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Reporter: vbraun | Owner: mhampton
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.5.3
Component: geometry | Keywords:
Author: Volker Braun | Upstream: N/A
Reviewer: Andrey Novoseltsev | Merged:
Work_issues: switch to using sublattices (#9504) |
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Changes (by vbraun):
* status: needs_work => needs_review
Old description:
> Various computations in toric geometry rely on the (saturated)
> N-sublattice generated by a cone and its complement and projections onto
> these. And, similarly, for the dual cones in the M-lattice. This patch
> adds what is necessary for Chow group and sheaf cohomology computations
> later on.
>
> Prerequisites:
>
> - #9062 - Add support for toric lattices
> - #8986 - Add support for convex rational polyhedral cones
> - #9188 - lattice_polytope.facet_normal bug with polytopes of less that
> full dimension
> - #8987 - Add support for rational polyhedral fans
> - #9504 - Add support for toric sublattices
New description:
Various computations in toric geometry rely on the (saturated)
N-sublattice generated by a cone and its complement and projections onto
these. And, similarly, for the dual cones in the M-lattice. This patch
adds what is necessary for Chow group and sheaf cohomology computations
later on.
See tracker bug at #9604 to for the patch queue/dependencies.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9296#comment:22>
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