Generalized Hilbert Functions

DOI10.1080/00927872.2012.756884zbMath1295.13008arXiv1202.4106OpenAlexW1997793617MaRDI QIDQ5412086

Claudia Polini, Yu Xie

Publication date: 25 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4106

zbMATH Keywords

\(j\)-multiplicityHilbert SeriesAssociated graded rings

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (4)

On the first generalized Hilbert coefficient and depth of associated graded rings ⋮ Generalized Hilbert coefficients and Northcott's inequality ⋮ Generalized stretched ideals and Sally's conjecture ⋮ Hilbert polynomials of j-transforms

Uses Software

• Macaulay2

Cites Work

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• On associated graded rings having almost maximal depth
• Cohen-Macaulayness of Special Fiber Rings
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• Local Rings of High Embedding Dimension

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