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On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings-II (2303.01180v1)

Published 2 Mar 2023 in math.AC

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 $\depth{G(M)}\geq d-3$.

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