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Inequalities for Hilbert functions and primary decompositions
Author(s):
A.
L.
Chistov
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 19
(2007),
nomer 6.
Journal:
St. Petersburg Math. J.
19
(2008),
975-994.
MSC (2000):
Primary 12F15, 12F20
Posted:
August 22, 2008
MathSciNet review:
2411963
Retrieve article in:
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Abstract |
References |
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Additional information
Abstract:
Upper bounds are found for the characteristic function of a homogeneous polynomial ideal  ; such estimates were previously known only for a radical ideal  . 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.
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Additional 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
DOI:
10.1090/S1061-0022-08-01031-5
PII:
S 1061-0022(08)01031-5
Keywords:
Characteristic function of an ideal,
first Bertini theorem,
Hilbert functions
Received by editor(s):
10/MAY/2007
Posted:
August 22, 2008
Dedicated:
Dedicated to the centenary of D.~K.~Faddeev's birth
Copyright of article:
Copyright
2008,
American Mathematical Society
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