Inequalities for Hilbert functions and primary decompositions
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A. L. Chistov
Translated by: the author - St. Petersburg Math. J. 19 (2008), 975-994
- DOI: https://doi.org/10.1090/S1061-0022-08-01031-5
- Published electronically: August 22, 2008
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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.References
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Bibliographic Information
- A. L. Chistov
- Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
- Email: alch@pdmi.ras.ru
- Received by editor(s): May 10, 2007
- Published electronically: August 22, 2008
- © Copyright 2008 American Mathematical Society
- Journal: St. Petersburg Math. J. 19 (2008), 975-994
- MSC (2000): Primary 12F15, 12F20
- DOI: https://doi.org/10.1090/S1061-0022-08-01031-5
- MathSciNet review: 2411963
Dedicated: Dedicated to the centenary of D. K. Faddeev’s birth