Betti numbers, castelnuovo mumford regularity, and generalisations of macaulay's theorem

DOI10.1080/00927879708826090zbMath0908.13007OpenAlexW1998521100MaRDI QIDQ4384682

Daniel Mall

Publication date: 18 March 1999

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

Full work available at URL: https://doi.org/10.1080/00927879708826090

zbMATH Keywords

Hilbert functionCastelnuovo-Mumford regularityBetti numbers

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (8)

Minimal Castelnuovo–Mumford Regularity for a Given Hilbert Polynomial ⋮ The Gröbner fan of the Hilbert scheme ⋮ The range of all regularities for polynomial ideals with a given Hilbert function ⋮ Hilbert scheme strata defined by bounding cohomology ⋮ Hilbert functions and level algebras ⋮ Connectedness of Hilbert function strata and other connectedness results ⋮ Strongly stable ideals and Hilbert polynomials ⋮ Hilbert schemes with two Borel-fixed points

Cites Work

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• A criterion for detecting m-regularity
• Minimal resolutions of some monomial ideals
• New constructive methods in classical ideal theory
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Théorème de division et stabilité en géométrie analytique locale
• A generalization of macaulay's theorem
• What can be computed in algebraic geometry?
• 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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