On the vanishing of (co)homology over local rings

Details On the vanishing of (co)homology over local rings On the vanishing of (co)homology over local rings

2006-10-04

arxiv.org/abs/math/0610150v2

Mathematics

Commutative Algebra

9 pages, expanded version, to appear in J. Pure Appl. Algebra

Scientific paper

Considering modules of finite complete intersection dimension over
commutative Noetherian local rings, we prove (co)homology vanishing results in
which we assume the vanishing of nonconsecutive (co)homology groups. In fact,
the (co)homology groups assumed to vanish may be arbitrarily far apart from
each other.

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