Resolutions for Equivariant Sheaves over Toric Varieties

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In this work we construct global resolutions for general coherent equivariant sheaves over toric varieties. For this, we use the framework of sheaves over posets. We develop a notion of gluing of posets and of sheaves over posets, which we apply to construct global resolutions for equivariant sheaves. Our constructions give a natural correspondence between resolutions for reflexive equivariant sheaves and free resolutions of vector space arrangements.
preliminary version only; 48 pages, requires packages ams*, graphicx, enumerate, xy, epsfig

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Algebraic Geometry, Commutative Algebra, Combinatorics, 14M25, 18F20

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http://salesiana.dossiersoluciones.com/handle/123456789/74606

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503501
 http://arxiv.org/abs/math/0503501

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arXiv