#15328: Filtered vector spaces and Klyachko bundles on toric varieties
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Reporter: vbraun | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.13
Component: algebraic | Resolution:
geometry | Merged in:
Keywords: | Reviewers:
Authors: Volker Braun | Work issues:
Report Upstream: N/A | Commit:
Branch: | 2ccbe41bb6c7274eb0b5ff823c41c2b44d0a0481
u/vbraun/toric_bundle | Stopgaps:
Dependencies: |
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Description changed by vbraun:
Old description:
> This ticket implements filtered vector spaces and multi-filtered vector
> spaces (multiple filtrations of a single vector space). This is then used
> to implement Klyachko bundles.
New description:
This ticket implements filtered vector spaces and multi-filtered vector
spaces (multiple filtrations of a single vector space). This is then used
to implement Klyachko bundles.
Mandatory fun example: There are 3 torus-equivariant deformations of the
tangent bundle on the del Pezzo of degree 6:
{{{
sage: dP6 = toric_varieties.dP6()
sage: TX = dP6.sheaves.tangent_bundle()
sage: (TX * TX.dual()).cohomology(weight=(0,0), dim=True)
(1, 3, 0)
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/15328#comment:2>
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