Borel sets and sectional matrices

DOI10.1007/BF02558475zbMath0918.13009MaRDI QIDQ1387610

Lorenzo Robbiano, Anna Maria Bigatti

Publication date: 19 August 1999

Published in: Annals of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Hilbert functioncombinatorial enumeration problemsJFM 53.0104.01monomial Borel ideals

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)

Related Items

The Gröbner fan of the Hilbert scheme, Extremal behavior in sectional matrices, New characterizations of freeness for hyperplane arrangements

Cites Work

• A criterion for detecting m-regularity
• Minimal resolutions of some monomial ideals
• A theorem on refining division orders by the reverse lexicographic order
• Gotzmann theorems for exterior algebras and combinatorics
• Extremal properties of Hilbert functions
• A note on generators of least degree in Gorenstein ideals
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function
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