Colength, multiplicity, and ideal closure operations

DOI10.1080/00927872.2019.1691577zbMath1444.13033arXiv1907.00951OpenAlexW2991283916MaRDI QIDQ5220660

Ilya Smirnov, Pham Hung Quy, Linquan Ma

Publication date: 27 March 2020

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

Full work available at URL: https://arxiv.org/abs/1907.00951

zbMATH Keywords

limit closureHilbert-Samuel multiplicityintegral closure

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (6)

A Buchsbaum theory for tight closure ⋮ On the limit closure of a sequence of elements in local rings ⋮ Tight Hilbert polynomial and F-rational local rings ⋮ Koszul and local cohomology, and a question of Dutta ⋮ Uniform annihilators of systems of parameters ⋮ Lower bounds on Hilbert–Kunz multiplicities and maximal F-signatures

Cites Work

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• On the associativity formula for multiplicities
• Integral closedness of complete-intersection ideals
• Infinite integral extensions and big Cohen-Macaulay algebras
• Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules.
• Big Cohen-Macaulay algebras and the vanishing conjecture for maps of Tor in mixed characteristic
• The direct factor conjecture
• Locally quasi-unmixed Noetherian rings and ideals of the principal class
• Applications of the existence of big Cohen-Macaulay algebras
• On certain length functions associated to a system of parameters in local rings
• AN INEQUALITY INVOLVING TIGHT CLOSURE AND PARAMETER IDEALS
• Contracted ideals from integral extensions of regular rings
• Multiplicity and tight closures of parameters

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