Hilbert coefficients of integrally closed ideals
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Publication:1902150
DOI10.1006/jabr.1995.1264zbMath0846.13008OpenAlexW2078800773MaRDI QIDQ1902150
Publication date: 22 September 1996
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1995.1264
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)
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On the depth of the tangent cone and the growth of the Hilbert function ⋮ NORMAL HILBERT COEFFICIENTS AND ELLIPTIC IDEALS IN NORMAL TWO-DIMENSIONAL SINGULARITIES ⋮ Integral closedness of \(MI\) and the formula of Hoskin and Deligne for finitely supported complete ideals ⋮ Ratliff-Rush filtration, regularity and depth of higher associated graded modules. I ⋮ Ratliff-Rush filtration, regularity and depth of higher associated graded modules. II. ⋮ On the depth of the fiber cone of filtrations ⋮ Hilbert coefficients of Hilbert filtrations ⋮ Bounds for the reduction number of primary ideal in dimension three ⋮ Ratliff-Rush filtration, Hilbert coefficients and reduction number of integrally closed ideals ⋮ Graded filtrations and ideals of reduction number 2 ⋮ On the sectional genera and Cohen-Macaulay rings ⋮ Variations on the Grothendieck–Serre Formula for Hilbert Functions and Their Applications ⋮ On the computation of the Ratliff-Rush closure, associated graded ring and invariance of a length ⋮ Postulation number of good filtrations ⋮ A note on reduction numbers and Hilbert--Samuel functions of ideals over Cohen--Macaulay rings ⋮ On the Hilbert coefficients, depth of associated graded rings and reduction numbers ⋮ Projectively full radical ideals in integral extension rings ⋮ Bockstein cohomology of associated graded rings ⋮ Results on the Hilbert coefficients and reduction numbers ⋮ FIBER CONES WITH ALMOST MAXIMAL DEPTH ⋮ Ideals of reduction number two ⋮ Hilbert polynomials of multigraded filtrations of ideals ⋮ Estimates on the depth of the associated graded ring ⋮ Cohen-Macaulay local rings with \(e_2 = e_1 - e + 1\) ⋮ THE STRUCTURE OF THE SALLY MODULE OF INTEGRALLY CLOSED IDEALS ⋮ Depth of associated graded rings via Hilbert coefficients of ideals
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