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

Published 5 Sep 2024 in math.AC and math.CO | (2409.03176v1)

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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