A note on the vanishing of certain local cohomology modules

Details A note on the vanishing of certain local cohomology modules A note on the vanishing of certain local cohomology modules

2012-03-30

arxiv.org/abs/1203.6751v1

Mathematics

Commutative Algebra

4 pages, submitted to CMB in 2009, to appear

Scientific paper

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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