Derived functors and Hilbert polynomials over regular local rings

DOI10.1017/s0013091524000646MaRDI QIDQ6657210

Tony Joseph Puthenpurakal

Publication date: 6 January 2025

Published in: Proceedings of the Edinburgh Mathematical Society. Series II (Search for Journal in Brave)

zbMATH Keywords

bounded homotopy category of projectivestorsion and extension functors

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Derived categories and commutative rings (13D09)

Cites Work

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• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Hilbert coefficients of a Cohen-Macaulay module.
• Bass and Betti numbers of \(A/I^n\)
• Triangulated categories
• Derived functors and Hilbert polynomials
• Hilbert-Samuel functions of modules over Cohen-Macaulay rings
• Hilbert-Samuel polynomials for the contravariant extension functor
• On the degree of Hilbert polynomials associated to the torsion functor

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