Local cohomologies of isolated non F-rational singularities
Commutative Algebra
2016-09-07 v1
Abstract
In this paper, we consider positively graded isolated non F-rational singularities (R,m) with d=dim R over the field K of positive characteristic. We give a representation of lower local cohomologies H^i_m(R) (i<d) in terms of tight closure and limit closure of certain type of parameters. As an application to isolated singularities, we show a relation between non-vanishing of the tight closure of zero in the highest local cohomology (0)^*_{H^d(R)} and non-vanishing of the cohomology H^{d-1}_m(R).
Keywords
Cite
@article{arxiv.math/0611047,
title = {Local cohomologies of isolated non F-rational singularities},
author = {Yukihide Takayama},
journal= {arXiv preprint arXiv:math/0611047},
year = {2016}
}
Comments
14 pages