Vanishing of TOR over complete intersections
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of Tor over Complete Intersections and Applications
Let R be a local complete intersection and M,N are R-modules such that l(Tor i (M,N)) < ∞ for i ≫ 0. Imitating an approach by Avramov and Buchweitz, we investigate the asymptotic behavior of l(Tor i (M,N)) using Eisenbud operators and show that they have well-behaved growth. We define and study a function η(M,N) which generalizes Serre’s intersection multiplicity χ(M,N) over regular local rings...
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ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2011
ISSN: 1939-2346
DOI: 10.1216/jca-2011-3-2-169