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Title:
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On the depth of the tangent cone and the growth of the Hilbert function
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Author:
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Elías García, Joan
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Other authors:
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Universitat de Barcelona |
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Abstract:
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For a d-dimensional Cohen-Macaulay local ring (R,m) we study the depth of the associated graded ring of R with respect to an m-primary ideal I in terms of the Vallabrega-Valla conditions and the length of It+1/JIt, where J is a J minimal reduction of I and t≥ 1. As a corollary we generalize Sally's conjecture on the depth of the associated graded ring with respect to a maximal ideal to m-primary ideals. We also study the growth of the Hilbert function. |
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Subject(s):
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-Anells locals
-Ideals (Àlgebra)
-Homologia
-Funcions característiques
-Geometria algebraica
-Associated graded rings of ideals
-Homological methods
-Hilbert-Samuel and Hilbert-Kunz functions
-Poincaré series
-Local rings and semilocal rings |
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Rights:
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(c) American Mathematical Society, 1999
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Document type:
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Article
Article - Published version |
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Published by:
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American Mathematical Society
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