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arXiv · 2112.15136

Cohen-Macaulay generalized binomial edge ideals

Luca Amata·Marilena Crupi·Giancarlo Rinaldo
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Abstract

Let $G$ be a simple graph on $n$ vertices and let $J_{G,m}$ be the generalized binomial edge ideal associated to $G$ in the polynomial ring $K[x_{ij}, 1\le i \le m, 1\le j \le n]$. We classify the Cohen-Macaulay generalized binomial edge ideals. Moreover we study the unmixedness and classify the bipartite and power cycle unmixed ones.

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Luca Amata, Marilena Crupi, Giancarlo Rinaldo. 2021-12-30. Cohen-Macaulay generalized binomial edge ideals. https://arxiv.org/abs/2112.15136

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