Minimal Betti Numbers

DOI10.1080/00927870601115617zbMath1122.13002arXivmath/0604479OpenAlexW2001877343MaRDI QIDQ3435922

Christopher Dodd, Ben Richert, Victor Meyerson, Andrew S. Marks

Publication date: 8 May 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604479

zbMATH Keywords

simplicial complexesBetti numbersHilbert functionssquarefree monomial ideals

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (3)

Open problems on syzygies and Hilbert functions ⋮ Gotzmann ideals of the polynomial ring ⋮ Reverse lex ideals

Cites Work

• Squarefree lexsegment ideals
• Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers.
• Extremal point sets and Gorenstein ideals
• Componentwise linear ideals and Golod rings
• Shifting operations and graded Betti numbers
• Minimal Graded Betti Numbers and Stable Ideals
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function
• Combinatorics and commutative algebra
• Smallest graded Betti numbers

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