Rigid Hilbert functions

DOI10.1016/0022-4049(91)90038-4zbMath0733.13007OpenAlexW2074042325WikidataQ127172132 ScholiaQ127172132MaRDI QIDQ810095

Juan Elias, Giuseppe Valla

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0022-4049(91)90038-4

zbMATH Keywords

Hilbert polynomialassociated graded ringlocal Cohen-Macaulay ringHilbert-Poincaré series

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

Hilbert functions and Sally modules ⋮ On the Chern number of a filtration ⋮ Sumsets and projective curves ⋮ On the coefficients of the Hilbert polynomial ⋮ Cohen-Macaulay local rings of dimension two and an extended version of a conjecture of J. Sally ⋮ Hilbert coefficients of Hilbert filtrations ⋮ The equality of Elias-Valla and the associated graded ring of maximal ideals ⋮ A filtration of the Sally module and the first normal Hilbert coefficient ⋮ A moduli scheme of embedded curve singularities ⋮ Maximal Hilbert functions ⋮ Results on the Hilbert coefficients and reduction numbers ⋮ Sally Modules of 𝔪-Primary Ideals in Local Rings ⋮ THE STRUCTURE OF THE SALLY MODULE OF INTEGRALLY CLOSED IDEALS ⋮ Depth of associated graded rings via Hilbert coefficients of ideals ⋮ The structure of sally modules and Buchsbaumness of associated graded rings

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