Residual intersections and modules with Cohen-Macaulay Rees algebra

2018/11/20 by Costantini, Alessandra
#13 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.08402

Abstract

In this paper, we consider a finite, torsion-free module E over a Gorenstein local ring. We provide sufficient conditions for E to be of linear type and for the Rees algebra R(E) of E to be Cohen-Macaulay. Our results are obtained by constructing a generic Bourbaki I ideal of E and exploiting properties of the residual intersections of I.

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