On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings-II

Abstract

If $(A,\mathfrak{m})$ is a hypersurface ring of dimension $d$ with $e(A)=3$. Let $M$ be an MCM $A$-module with $\mu (M)=4$ then we prove that $\depth{G(M)}\geq d-3$.

This paper consists of part of our paper arXiv:2106.13758. This was done due to the advice of some of our colleagues. arXiv admin note: substantial text overlap with arXiv:2208.02667