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arXiv:math/0503501 [math.AG]AbstractReferencesReviewsResources

Resolutions for Equivariant Sheaves over Toric Varieties

Markus Perling

Published 2005-03-23Version 1

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.

Comments: preliminary version only; 48 pages, requires packages ams*, graphicx, enumerate, xy, epsfig
Categories: math.AG, math.AC, math.CO
Subjects: 14M25, 18F20
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