Abstract
Conditions on the Koszul complex of a noetherian local ring R guarantee that is nonzero for infinitely many i, when M and N are finitely generated R-modules of infinite projective dimension. These conditions are obtained from results concerning Tor of differential graded modules over certain trivial extensions of commutative differential graded algebras.Dedicated to Gennady Lyubeznik on the occasion of his 60th birthday.
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