Finiteness of extension functors of local cohomology modules

Mohammad T. Dibaei; Siamak Yassemi

Finiteness of extension functors of local cohomology modules

Commutative Algebra 2007-05-23 v1 Algebraic Geometry

Authors: Mohammad T. Dibaei , Siamak Yassemi

Abstract

Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$ and $M$ a finitely generated $R$ --module. Let $t$ be a non-negative integer such that $\H^i_\fa(M)$ is $\fa$ --cofinite for all $i<t$ . It is well--known that $\Hom_R(R/\fa,\H^t_\fa(M))$ is finitely generated $R$ --module. In this paper we study the finiteness of $\Ext^1_R(R/\fa,\H^t_\fa(M))$ and $\Ext^2_R(R/\fa,\H^t_\fa(M))$ .

Keywords

local cohomology extension functors commutative noetherian ring cofinite modules ext modules finiteness

Cite

@article{arxiv.math/0509340,
  title  = {Finiteness of extension functors of local cohomology modules},
  author = {Mohammad T. Dibaei and Siamak Yassemi},
  journal= {arXiv preprint arXiv:math/0509340},
  year   = {2007}
}

Comments

5 pages

Related papers

View all related →