The intersection homology D-module in finite characteristic
代数几何
2007-05-23 v2 交换代数
摘要
For Y a closed normal subvariety of codimension c of a smooth complex variety X, Brylinski and Kashiwara showed that the local cohomology module H^c_Y(X,O_X) contains a unique simple D_X-submodule, denoted by L(Y,X). In this paper the analogous result is shown for X and Y defined over a perfect field of finite characteristic. Moreover, a local construction of Ll(Y,X) is given, relating it to the theory of tight closure. From the construction one obtains a criterion for the D_X-simplicity of H^c_Y(X).
引用
@article{arxiv.math/0210145,
title = {The intersection homology D-module in finite characteristic},
author = {Manuel Blickle},
journal= {arXiv preprint arXiv:math/0210145},
year = {2007}
}
备注
23 pages, streamlined exposition according to referee's suggestions