Local cohomology based on a nonclosed support defined by a pair of ideals
Commutative Algebra
2008-08-01 v2 Algebraic Geometry
Abstract
We introduce an idea for generalization of a local cohomology module, which we call a local cohomology module with respect to a pair of ideals (I,J), and study their various properties. Some vanishing and nonvanishing theorems are given for this generalized version of local cohomology. We also discuss its connection with the ordinary local cohomology.
Cite
@article{arxiv.0709.3149,
title = {Local cohomology based on a nonclosed support defined by a pair of ideals},
author = {Ryo Takahashi and Yuji Yoshino and Takeshi Yoshizawa},
journal= {arXiv preprint arXiv:0709.3149},
year = {2008}
}
Comments
28 pages, minor corrections, to appear in J. Pure Appl. Algebra