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Analytic Deviation One Ideals and Test Modules (1108.5933v2)
Published 30 Aug 2011 in math.AC
Abstract: Let A be a Cohen-Macaulay local ring of dimension d and I an ideal in A. Let M be a finitely generated maximal Cohen-Macaulay A-module. Let I be a locally complete intersection ideal of analytic deviation one and reduction number at most one. We prove that the polynomial given by $length(Tor{A}_{1}(M,A/I{n+1}))$ either has degree d-1 or $F_I(M) $ is a free$F(I)-$$module.
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