A finiteness theorem for the Hilbert functions of complete intersection local rings

DOI10.1007/PL00004322zbMath0957.13008MaRDI QIDQ1284351

Vijaylaxmi Trivedi, Vasudevan Srinivas

Publication date: 21 April 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

Hilbert polynomialcomplete intersection local ringfinite number of Hilbert functions

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (9)

Castelnuovo-Mumford regularity and extended degree ⋮ Dependence of Hilbert coefficients ⋮ Hilbert functions, Castelnuovo-Mumford regularity and uniform Artin-Rees numbers ⋮ Regularity comparison of fiber cone and associated graded ring ⋮ When does a perturbation of the equations preserve the normal cone? ⋮ Filter regular sequence under small perturbations ⋮ Small perturbations in generalized Cohen-Macaulay local rings ⋮ FINITENESS OF HILBERT FUNCTIONS FOR GENERALIZED COHEN–MACAULAY MODULES ⋮ Upper Bound for the Castelnuovo-Mumford Regularity of Associated Graded Modules

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