Integral closure and Hilbert series of a special monomial ideal

Amir Mafi; Dler Naderi

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arXiv · 2112.02921

Integral closure and Hilbert series of a special monomial ideal

Amir Mafi·Dler Naderi

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Abstract

Let $R=K[x_1,\ldots, x_n]$ be the polynomial ring in $n$ variables over a field $K$ and let $M_{n,t}=(x^{e_1},\ldots, x^{e_n})$ be a monomial ideal of $R$, where $x^{e_i}=x_1^t\ldots x_{i-1}^tx_{i+1}^t\ldots x_n^t$. We study the unmixedness of its integral closure. Furthermore, we compute the Hilbert series of this ideal and we show that this ideal is Freiman.

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Amir Mafi, Dler Naderi. 2021-12-06. Integral closure and Hilbert series of a special monomial ideal. https://arxiv.org/abs/2112.02921

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