Regularity of linearly presented squarefree monomial ideals

2024/06/15 by Hailong Dao, Dao, Hailong, Thanh Vu +1
Computer Science · Mathematics · #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2406.10595

openalex publication_date 2024/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 S₂-condition proposed by Dao and Takagi.

Related

• Regularity of squarefree monomial ideals
• Linearity of Free Resolutions of Monomial Ideals
• Stanley depth and size of a monomial ideal
• Monomial ideals with linear upper bound regularity
• On a class of squarefree monomial ideals of linear type