scientific article; zbMATH DE number 591021

zbMath0815.14033MaRDI QIDQ4296323

Giuseppe Valla

Publication date: 2 July 1995

Full work available at URL: http://www.numdam.org/item?id=CM_1994__91_3_305_0

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zbMATH Keywords

Hilbert functionBetti numbersarithmetically Cohen-Macaulay

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) (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)

Related Items (8)

Betti numbers of lex-segment ideals ⋮ Algorithms for strongly stable ideals ⋮ On the Betti numbers of Cohen-Macaulay modules ⋮ On the tangent space to the Hilbert scheme of points in 𝐏³ ⋮ Numbers of generators of perfect ideals ⋮ Syzygies in Hilbert schemes of complete intersections ⋮ Bounds for the Betti Numbers of Generalized Cohen-Macaulay Ideals ⋮ Expecting the unexpected: quantifying the persistence of unexpected hypersurfaces

Cites Work

• Unnamed Item
• Minimal resolutions of some monomial ideals
• Monomial ideals and points in projective space
• The Hilbert function of a Cohen-Macaulay local algebra: Extremal Gorenstein algebras
• Hilbert functions of graded algebras
• Number of generators of ideals
• On the Depth of the Symmetric Algebra
• 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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