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On the reducibility of the postulation Hilbert scheme

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Publication:2569866
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DOI10.1007/BF02875732zbMath1099.13029MaRDI QIDQ2569866

Alfio Ragusa, Giuseppe Zappalá

Publication date: 26 April 2006

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)



Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)


Related Items

Families of Artinian and one-dimensional algebras, Linear quotients of Artinian Weak Lefschetz algebras, The Hilbert scheme of Buchsbaum space curves, Minimal free resolutions of general points lying on cubic surfaces in \(\mathbb P^3\), Reducible family of height three level algebras



Cites Work

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  • Standard bases of perfect homogeneous polynomial ideals of height 2
  • A stratification of the Hilbert scheme of points in the projective plane
  • Connectedness of Hilbert function strata and other connectedness results
  • Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
  • Maximal families of Gorenstein algebras
  • Maximum betti numbers of homogeneous ideals with a given hilbert function
  • Smallest graded Betti numbers
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