A note on the vanishing of certain local cohomology modules

Michael Hellus

A note on the vanishing of certain local cohomology modules

Commutative Algebra 2012-04-02 v1

Authors: Michael Hellus

Abstract

For a finite module $M$ over a local, equicharacteristic ring $(R,m)$ , we show that the well-known formula $\cohdim(m,M)=\dim M$ becomes trivial if ones uses Matlis duals of local cohomology modules together with spectral sequences. We also prove a new, ring-theoretic vanishing criterion for local cohomology modules.

Keywords

local cohomology modules vanishing criterion Matlis duals spectral sequences equicharacteristic ring cohomological dimension

Cite

@article{arxiv.1203.6751,
  title  = {A note on the vanishing of certain local cohomology modules},
  author = {Michael Hellus},
  journal= {arXiv preprint arXiv:1203.6751},
  year   = {2012}
}

Comments

4 pages, submitted to CMB in 2009, to appear

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