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arXiv · 2406.10595

Regularity of linearly presented squarefree monomial ideals

Hailong Dao·Thanh Vu
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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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Hailong Dao, Thanh Vu. 2024-06-15. Regularity of linearly presented squarefree monomial ideals. https://arxiv.org/abs/2406.10595

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