Resolutions for Equivariant Sheaves over Toric Varieties
代数几何
2007-05-23 v1 交换代数
组合数学
摘要
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.
引用
@article{arxiv.math/0503501,
title = {Resolutions for Equivariant Sheaves over Toric Varieties},
author = {Markus Perling},
journal= {arXiv preprint arXiv:math/0503501},
year = {2007}
}
备注
preliminary version only; 48 pages, requires packages ams*, graphicx, enumerate, xy, epsfig