Notes on the Frobenius test exponents

DOI10.1080/00927872.2018.1539168zbMath1433.13003arXiv1801.04827OpenAlexW2963711149MaRDI QIDQ5382957

Pham Hung Quy, Duong Thi Huong

Publication date: 19 June 2019

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

Full work available at URL: https://arxiv.org/abs/1801.04827

zbMATH Keywords

local cohomologyfilter regular sequenceFrobenius test exponentHartshorne-Speiser-Lyubeznik number

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (5)

Frobenius test exponent for ideals generated by filter regular sequences ⋮ Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals ⋮ On the Frobenius closure of parameter ideals in local rings F-injective on the punctured spectrum ⋮ \(F\)-nilpotent rings and permanence properties ⋮ Upper bound of multiplicity in prime characteristic

Cites Work

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• On the Hartshorne–Speiser–Lyubeznik theorem about Artinian modules with a Frobenius action
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• ON THE ASSOCIATED PRIMES OF LOCAL COHOMOLOGY
• Bounds for test exponents

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