Let M, N be finite modules over a Noetherian local ring R. We show that the bigraded Hilbert series of gr(TorR(M,N)) is obtained from that of Torgr(R)(gr(M),gr(N)) by negative consecutive cancellations, thus extending a theorem of Rossi and Sharifan.
Consecutive cancellations in Tor modules over local rings
Sammartano A.
2016-01-01
Abstract
Let M, N be finite modules over a Noetherian local ring R. We show that the bigraded Hilbert series of gr(TorR(M,N)) is obtained from that of Torgr(R)(gr(M),gr(N)) by negative consecutive cancellations, thus extending a theorem of Rossi and Sharifan.File in questo prodotto:
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Consecutive cancellations in Tor modules over local rings JPAA.pdf
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