Intersection cohomology on nonrational polytopes
代数几何
2007-05-23 v1 组合数学
摘要
Viewing a fan as a partially ordered set (of cones) we consider a category of sheaves on the fan which corresponds to a category of equivariant sheaves on the corresponding toric variety if the fan is rational. In this category we define an object which corresponds to the equivariant intersection cohomology complex. Our first main result is the ``elementary'' decomposition theorem for the direct image under subdivision of fans We also develop the Borel-Moore- Verdier duality in the derived category of sheaves on the fan.
引用
@article{arxiv.math/0002006,
title = {Intersection cohomology on nonrational polytopes},
author = {Paul Bressler and Valery A. Lunts},
journal= {arXiv preprint arXiv:math/0002006},
year = {2007}
}