A note on the vanishing of certain local cohomology modules

2011/01/01 by Michael Hellus, Hellus, Michael
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #math.AC #msc:13D45

paper · pdf · doi:10.48550/arxiv.1203.6751

4 pages, submitted to CMB in 2009, to appear

arxiv created 2012/03/30 · arxiv updated 2012/04/02

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.

Related

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• On some local cohomology modules