Local cohomology and F-stability

DOI10.1016/j.jalgebra.2009.04.025zbMath1186.13015arXiv0904.4425OpenAlexW2963843225MaRDI QIDQ2654055

Florian Enescu

Publication date: 15 January 2010

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

Full work available at URL: https://arxiv.org/abs/0904.4425

zbMATH Keywords

local cohomologyFrobenius depthFrobenius homomorphismF-injective ringsF-stabilityF-stable primes

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 (6)

A uniform treatment of Grothendieck's localization problem ⋮ Local Cohomology—An Invitation ⋮ Nilpotence of Frobenius action and the Hodge filtration on local cohomology ⋮ Right and left modules over the Frobenius skew polynomial ring in theF-finite case ⋮ F-Pure Homomorphisms, StrongF-regularity, andF-injectivity ⋮ Positive characteristic algebraic geometry

Cites Work

• Unnamed Item
• The Frobenius structure of local cohomology
• Local cohomological dimension in characteristic p
• On the vanishing of local cohomology in characteristic p > 0
• Graded annihilators of modules over the Frobenius skew polynomial ring, and tight closure
• A connectedness result in positive characteristic
• F-injective singularities are Du Bois
• F-Regularity, Test Elements, and Smooth Base Change
• Regularity and finite flat dimension in characteristicp>0
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• 𝐹-injective rings and 𝐹-stable primes
• Test ideals and base change problems in tight closure theory

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