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arXiv · 2409.03176

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

Yuta Hatasa·Nobukazu Kowaki·Koji Matsushita
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Abstract

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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Yuta Hatasa, Nobukazu Kowaki, Koji Matsushita. 2024-09-05. Pseudo-Gorenstein edge rings and a new family of almost Gorenstein edge rings. https://arxiv.org/abs/2409.03176

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