伪哥伦斯泰因边环和几乎哥伦斯泰因边环的一个新族

arXiv - MATH - Commutative Algebra Pub Date : 2024-09-05 DOI:arxiv-2409.03176

Yuta Hatasa, Nobukazu Kowaki, Koji Matsushita

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引用次数: 0

摘要

本文研究边缘环及其 $h$-多项式。我们研究了什么情况下边缘环是伪哥伦布环，即边缘环的 $h$ 多项式的前导系数等于 1$。此外，我们还计算了一个特殊族边缘环的 $h$-多项式，并证明其中一些边缘环几乎是戈伦斯坦环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Pseudo-Gorenstein edge rings and a new family of almost Gorenstein edge rings

In this paper, we study edge rings and their $h$-polynomials. We investigate when edge rings are pseudo-Gorenstein, which means that the leading coefficients of the $h$-polynomials of edge rings are equal to $1$. Moreover, we compute the $h$-polynomials of a special family of edge rings and show that some of them are almost Gorenstein.

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arXiv - MATH - Commutative Algebra

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