Maximal Betti numbers

DOI10.1090/S0002-9939-02-06471-7zbMath0987.13004MaRDI QIDQ2782612

Irena Peeva, Marc Chardin, Vesselin N. Gasharov

Publication date: 8 April 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

maximal Betti numberslexicographic ideal

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

Related Items

Regularity of lex-segment ideals: Some closed formulas and applications, Open problems on syzygies and Hilbert functions, Poset embeddings of Hilbert functions and Betti numbers, Hilbert schemes and maximal Betti numbers over Veronese rings, Ideals containing the squares of the variables

Cites Work

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• Minimal resolutions of some monomial ideals
• Squarefree lexsegment ideals
• Hyperplane arrangement cohomology and monomials in the exterior algebra
• Resolutions of monomial ideals and cohomology over exterior algebras
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function