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arXiv · 1902.05251

Sequentially Cohen-Macaulay matroidal ideals

Madineh Jafari·Amir Mafi·Hero Saremi
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Abstract

Let $R=K[x_1,...,x_n]$ be the polynomial ring in $n$ variables over a field $K$ and let $J$ be a matroidal ideal of degree $d$ in $R$. In this paper, we study the class of sequentially Cohen-Macaulay matroidal ideals. In particular, all sequentially Cohen-Macaulay matroidal ideals of degree $2$ are classified. Furthermore, we give a classification of sequentially Cohen-Macaulay matroidal ideals of degree $d\geq 3$ in some special cases.

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Madineh Jafari, Amir Mafi, Hero Saremi. 2019-02-14. Sequentially Cohen-Macaulay matroidal ideals. https://arxiv.org/abs/1902.05251

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