Projective dimension and Castelnuovo-Mumford regularity of t-spread\n ideals

2022/03/14 by Luca Amata, Amata, Luca, Marilena Crupı +3
Computer Science · Mathematics · #05E40 #13B25 #13D02 #16W50 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2203.07084

openalex publication_date 2022/03/14 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We study some algebraic invariants of t-spread ideals, t\≥ 1, such as\nthe projective dimension and the Castelnuovo-Mumford regularity, by means of\nwell-known graded resolutions. We state upper bounds for these invariants and,\nfurthermore, we identify a special class of t-spread ideals for which such\nbounds are optimal.\n

Related

• Uniform bounds on projective dimension and Castelnuovo-Mumford regularity
• On the Castelnuovo-Mumford regularity of ideals, in dimension 2
• Ideals with Larger Projective Dimension and Regularity
• Vector-spread monomial ideals and Eliahou-Kervaire type resolutions
• Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals