Hilbert functions of graded algebras over Artinian rings

DOI10.1016/S0022-4049(96)00124-7zbMath0893.13004arXivmath/9504203MaRDI QIDQ1380045

Cristina Blancafort

Publication date: 25 February 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9504203

zbMATH Keywords

Hilbert functionsHilbert polynomialsArtinian local ring

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02)

Related Items (10)

On the depth of the tangent cone and the growth of the Hilbert function ⋮ LEX-SEGMENT IDEALS AND THE MAXIMAL GROWTH OF HILBERT FUNCTIONS ⋮ Dependence of Hilbert coefficients ⋮ Castelnuovo-Mumford regularity of initial ideals ⋮ Sumsets and Veronese varieties ⋮ Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals ⋮ Non-linear behaviour of Castelnuovo-Mumford regularity ⋮ A note on Castelnuovo–Mumford regularity and Hilbert coefficients ⋮ Bigeneric initial ideals, diagonal subalgebras and bigraded Hilbert functions ⋮ The Hilbert function of the Ratliff-Rush filtration.

Cites Work

• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Hilbert functions of graded algebras
• Connectedness of Hilbert scheme
• Number of generators of ideals
• The Reduction Number of an Ideal and the Local Cohomology of the Associated Graded Ring
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