Inequalities for Hilbert functions and primary decompositions

DOI10.1090/S1061-0022-08-01031-5zbMath1206.13022MaRDI QIDQ3079233

Alexander L. Chistov

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hilbert functionscharacteristic function of an idealfirst bertini theorem

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (1)

Subexponential-time computation of isolated primary components of a polynomial ideal

Cites Work

• A deterministic polynomial-time algorithm for the first Bertini theorem. I
• Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz
• A combinatorial proof of the effective Nullstellensatz
• The Structure of Polynomial Ideals and Gröbner Bases
• Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique
• Pencils on an Algebraic Variety and a New Proof of a Theorem of Bertini
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Inequalities for Hilbert functions and primary decompositions