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arXiv · 1203.6751

A note on the vanishing of certain local cohomology modules

Michael Hellus
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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.

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Michael Hellus. 2012-03-30. A note on the vanishing of certain local cohomology modules. https://arxiv.org/abs/1203.6751

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