Dualizing Complexes and Perverse Sheaves on Noncommutative Ringed Schemes
代数几何
2007-05-23 v4 环与代数
摘要
A quasi-coherent ringed scheme is a pair (X,A), where X is a scheme, and A is a noncommutative quasi-coherent O_X-ring. We introduce dualizing complexes over quasi-coherent ringed schemes and study their properties. For a separated differential quasi-coherent ringed scheme of finite type over a field, we prove existence and uniqueness of a rigid dualizing complex. In the proof we use the theory of perverse coherent sheaves in order to glue local pieces of the rigid dualizing complex into a global complex.
引用
@article{arxiv.math/0211309,
title = {Dualizing Complexes and Perverse Sheaves on Noncommutative Ringed Schemes},
author = {Amnon Yekutieli and James J. Zhang},
journal= {arXiv preprint arXiv:math/0211309},
year = {2007}
}
备注
36 pages, AMSLaTeX. Final version, to appear in Selecta Math. (minor changes)