Derived functors and Hilbert polynomials

DOI10.1017/S0305004101005412zbMath1054.13007arXivmath/0410303OpenAlexW2149108454MaRDI QIDQ2777975

Emanoil Theodorescu

Publication date: 23 June 2002

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

Full work available at URL: https://arxiv.org/abs/math/0410303

zbMATH Keywords

Hilbert polynomiallength of Ext

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Resolutions; derived functors (category-theoretic aspects) (18G10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (9)

On the degree of Hilbert polynomials associated to the torsion functor ⋮ Bass and Betti numbers of \(A/I^n\) ⋮ Bivariate Hilbert functions for the torsion functor. ⋮ Hilbert polynomials for the extension functor ⋮ Hilbert-Samuel polynomials for the contravariant extension functor ⋮ On the degree of Hilbert polynomials of derived functors ⋮ Asymptotic growth of algebras associated to powers of ideals ⋮ The Dual Hilbert–Samuel Function of a Maximal Cohen-Macaulay Module ⋮ Hilbert-Samuel functions of modules over Cohen-Macaulay rings

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