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

Ankit Mishra; Tony J. Puthenpurakal

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

Commutative Algebra 2023-03-03 v1

Authors: Ankit Mishra , Tony J. Puthenpurakal

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

Keywords

hypersurface ring maximal cohen-macaulay module associated graded module depth multiplicity

Cite

@article{arxiv.2303.01180,
  title  = {On associated graded modules of maximal Cohen-Macaulay modules over hypersurface rings-II},
  author = {Ankit Mishra and Tony J. Puthenpurakal},
  journal= {arXiv preprint arXiv:2303.01180},
  year   = {2023}
}

Comments

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

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