The invariance of Hilbert functions of quotients under small perturbations

DOI10.1006/S0021-8693(96)90000-9zbMath0870.13008OpenAlexW2049995642MaRDI QIDQ1125868

Vijaylaxmi Trivedi, Vasudevan Srinivas

Publication date: 1 June 1997

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

Full work available at URL: https://doi.org/10.1006/s0021-8693(96)90000-9

zbMATH Keywords

Hilbert functionHilbert polynomialassociated graded ringBuchsbaum ringgeneralized Cohen-Macaulay ring

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Noetherian rings and modules (13E05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Local rings and semilocal rings (13H99)

Related Items (11)

The height of ideals and regular sequences ⋮ Hilbert functions, Castelnuovo-Mumford regularity and uniform Artin-Rees numbers ⋮ Symplectic hats ⋮ When does a perturbation of the equations preserve the normal cone? ⋮ Equisingular algebraic approximation of real and complex analytic germs ⋮ Filter regular sequence under small perturbations ⋮ CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATURE ⋮ Algebraic approximation of Cohen-Macaulay algebras ⋮ Small perturbations in generalized Cohen-Macaulay local rings ⋮ FINITENESS OF HILBERT FUNCTIONS FOR GENERALIZED COHEN–MACAULAY MODULES ⋮ Betti numbers under small perturbations

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