On the Vanishing of Homology with Modules of Finite Length

Petter Andreas Bergh

Abstract


We study the vanishing of homology and cohomology of a module of finite complete intersection dimension over a local ring. Given such a module of complexity $c$, we show that if $c$ (co)homology groups with a module of finite length vanish, then all higher (co)homology groups vanish.

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DOI: http://dx.doi.org/10.7146/math.scand.a-15230

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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