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Algebra i Analiz, 2007, Volume 19, Issue 6, Pages 143–172 (Mi aa150)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Inequalities for Hilbert functions and primary decompositions

A. L. Chistov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: Upper bounds are found for the characteristic function of a homogeneous polynomial ideal $I$; such estimates were previously known only for a radical ideal $I$. An analog of the first Bertini theorem for primary decompositions is formulated and proved. Also, a new representation for primary ideals and modules is introduced and used, which is convenient from an algorithmic point of view.
Keywords: Characteristic function of an ideal, first Bertini theorem, Hilbert functions.
Received: 10.05.2007
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 6, Pages 975–994
DOI: https://doi.org/10.1090/S1061-0022-08-01031-5
Bibliographic databases:
Document Type: Article
MSC: 12F15, 12F20
Language: Russian
Citation: A. L. Chistov, “Inequalities for Hilbert functions and primary decompositions”, Algebra i Analiz, 19:6 (2007), 143–172; St. Petersburg Math. J., 19:6 (2008), 975–994
Citation in format AMSBIB
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\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 6
\pages 975--994
\crossref{https://doi.org/10.1090/S1061-0022-08-01031-5}
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  • https://www.mathnet.ru/eng/aa/v19/i6/p143
    • This publication is cited in the following 1 articles:
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