Resolutions for Equivariant Sheaves over Toric Varieties

Details Resolutions for Equivariant Sheaves over Toric Varieties Resolutions for Equivariant Sheaves over Toric Varieties

2005-03-23

arxiv.org/abs/math/0503501v1

Mathematics

Algebraic Geometry

preliminary version only; 48 pages, requires packages ams*, graphicx, enumerate, xy, epsfig

Scientific paper

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.

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