Vanishing of cohomology over Gorenstein rings of small codimension

Details Vanishing of cohomology over Gorenstein rings of small codimension Vanishing of cohomology over Gorenstein rings of small codimension

2002-09-27

arxiv.org/abs/math/0209389v1

Mathematics

Commutative Algebra

11 pages, to appear in Proceedings of the AMS

Scientific paper

We prove that if M, N are finite modules over a Gorenstein local ring R of
codimension at most 4, then the vanishing of Ext^n_R(M,N) for n\gg 0 is
equivalent to the vanishing of Ext^n_R(N,M) for n\gg 0. Furthermore, if the
completion of $R$ has no embedded deformation, then such vanishing occurs if
and only if M or N has finite projective dimension.

Affiliated with

Also associated with

No associations

Rating

Vanishing of cohomology over Gorenstein rings of small codimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Vanishing of cohomology over Gorenstein rings of small codimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vanishing of cohomology over Gorenstein rings of small codimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-433992