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Vector fields on a complete intersection

✍ Scribed by A. G. Aleksandrov

Publisher
Springer US
Year
1992
Tongue
English
Weight
183 KB
Volume
25
Category
Article
ISSN
0016-2663

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Let R, α’Š be a complete intersection, that is, a ring whose α’Š-adic completion is the quotient of a regular local ring by a regular sequence. Suppose M and N are finitely generated R-modules. We give a necessary condition for the vanishing of R Ε½ . Tor M, N for all i 4 0 in terms of the intersection o

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Let R, α’Š be a complete intersection, that is, a local ring whose α’Š-adic completion is the quotient of a regular local ring by a regular sequence. Suppose M is a finitely generated R-module. It is known that the even and odd Betti sequences of M are eventually given by polynomials of the same degree