On associated graded modules having a pure resolution

Tony J. Puthenpurakal

On associated graded modules having a pure resolution

Commutative Algebra 2014-09-08 v1

Authors: Tony J. Puthenpurakal

Abstract

Let $A = K[[X_1,\cdots,X_n]]$ and let $\mathfrak{m} = (X_1,\cdots,X_n)$ . Let $M$ be a Cohen-Macaulay $A$ -module of codimension $p$ . In this paper we give a necessary and sufficient condition for the associated graded module $G_{\mathfrak{m}}(M)$ to have a pure resolution over the polynomial ring $G_{\mathfrak{m}}(A) \cong K[X_1,\cdots,X_n]$ .

Keywords

cohen-macaulay rings and modules module theory polynomial theory

Cite

@article{arxiv.1409.1762,
  title  = {On associated graded modules having a pure resolution},
  author = {Tony J. Puthenpurakal},
  journal= {arXiv preprint arXiv:1409.1762},
  year   = {2014}
}

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