On the depth of the tangent cone and the growth of the Hilbert function

DOI10.1090/S0002-9947-99-02278-3zbMath0923.13015OpenAlexW1603094094MaRDI QIDQ4257572

Juan Elias

Publication date: 31 August 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02278-3

zbMATH Keywords

Cohen-Macaulay local ringtangent conedepth of the associated graded ringgrowth of the Hilbert function

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 (13)

On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves ⋮ ON THE ASSOCIATED GRADED RINGS OF IDEALS OF COHEN-MACAULAY RINGS ⋮ On semigroup rings with decreasing Hilbert function ⋮ On the Hilbert Function of Four-Generated Numerical Semigroup Rings ⋮ A moduli scheme of embedded curve singularities ⋮ Generalized Hilbert Functions ⋮ CM defect and Hilbert functions of monomial curves ⋮ On the associated graded rings of ideals of reduction number 2 ⋮ Fiber Cones of Ideals with Almost Minimal Multiplicity ⋮ Results on the Hilbert coefficients and reduction numbers ⋮ Estimates on the depth of the associated graded ring ⋮ The Hilbert function of the Ratliff-Rush filtration. ⋮ Depth of associated graded rings via Hilbert coefficients of ideals

Cites Work

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