A note on the depth formula and vanishing of cohomology

Details A note on the depth formula and vanishing of cohomology A note on the depth formula and vanishing of cohomology

2012-04-18

arxiv.org/abs/1204.4083v1

Mathematics

Commutative Algebra

12 pages

Scientific paper

It is proved that if one of the finite modules M and N, over a local ring R,
has reducible complexity and has finite Gorenstein dimension then the depth
formula holds, provided TorR_i(M,N) = 0 for i>>0. We also study the vanishing
of cohomology of a module of finite complete intersection dimension.

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