Regularity of linearly presented squarefree monomial ideals

Published 15 Jun 2024 in math.AC | (2406.10595v1)

Abstract: We prove a sharp bound for the regularity of a squarefree monomial ideal with a linear presentation. This result also answers in positive a question on the cohomological dimension of squarefree monomial ideals satisfying Serre's $S_2$-condition proposed by Dao and Takagi.

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