Ideals of analytic deviation one with respect to a Cohen-Macaulay module

Ganesh S. Kadu ()
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Ganesh S. Kadu: IIT Bombay

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 2, 73-97

Abstract: Abstract Let (A, m) be a Cohen-Macaulay local ring, M a Cohen-Macaulay A-module of dimension d ≥ 1 and I a proper ideal of analytic deviation one with respect to M. In this paper we study the Cohen-Macaulayness of associated graded module of a Cohen-Macaulay module. We show that if I is generically a complete intersection of analytic deviation one and reduction number at most one with respect to M then G I (M) is Cohen-Macaulay. When analytic spread of I with respect to M equals d we prove a similar result when reduction number of an ideal is atmost two.

Keywords: Blow-up algebra; analytic deviation; analytic spread; reductions; Cohen-Macaulay modules (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0005-9

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