Upper bounds of Hilbert coefficients and Hilbert functions

DOI10.1017/S0305004108001138zbMath1146.13009arXiv0709.4084OpenAlexW2950009684MaRDI QIDQ3514875

Juan Elias

Publication date: 23 July 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4084

zbMATH Keywords

Poincaré seriesHilbert-Samuel polynomialHilbert coefficientHilbert-Samuel function

Mathematics Subject Classification ID

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

Related Items

The Chern coefficients of local rings ⋮ Upper bounds on two Hilbert coefficients ⋮ Bounding Hilbert coefficients of parameter ideals ⋮ Bounding the first Hilbert coefficient ⋮ Hilbert–Kunz multiplicity of the powers of an ideal ⋮ Variation of Hilbert coefficients

Cites Work

• Stable rings
• Effect of a permissible blowing-up on the local Hilbert functions
• The Hilbert function of the Ratliff-Rush filtration.
• On the first normalized Hilbert coefficient
• On the deep structure of the blowing-up of curve singularities
• A bound on the reduction number of a primary ideal
• Stable Ideals and Arf Rings
• A Note on the Coefficients of the Abstract Hilbert Function
• Maximal Hilbert functions