Generalized binomial edge ideals of complete $r$-partite graphs

Published 19 Dec 2023 in math.AC | (2312.11807v1)

Abstract: This paper analyzes the cohomological dimension of the generalized binomial edge ideal $\calJ_{K_m,G}$ for a complete $r$-partite graph $G$. Additionally, the Krull dimension, the depth, the Castelnuovo--Mumford regularity, the Hilbert series, and the multiplicity of its quotient ring are explicitly determined.

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