On the existence of non-free totally reflexive modules

2016/02/26 by Atkins, Cameron, Vraciu, Adela
#13D02 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.08385

Abstract

For a standard graded Cohen-Macaulay ring S, if the quotient S/(\underlinex) admits non-free totally reflexive modules, where \underlinex is a system of parameters consisting of elements of degree one, then so does the ring S. As an application, we consider the question of which Stanley-Reisner rings of graphs admit non-free totally reflexive modules.

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