Abstract
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 >> 0 is equivalent to the vanishing of Ext n R(N, M) for n >> 0. Furthermore, if R has no embedded deformation, then such vanishing occurs if and only if M or N has finite projective dimension.
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