Fontaine rings and local cohomology

DOI10.1016/j.jalgebra.2010.01.024zbMath1191.13023OpenAlexW2065627757MaRDI QIDQ965201

Paul C. Roberts

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.01.024

zbMATH Keywords

local cohomologyCohen-Macaulay algebrasalmost zero modules

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14) Arithmetic rings and other special commutative rings (13F99)

Related Items (10)

Integral perfectoid big Cohen-Macaulay algebras via André's theorem ⋮ A sufficient condition for the almost Cohen–Macaulayness of the absolute integral closure in dimension 4 ⋮ An application of the almost purity theorem to the homological conjectures ⋮ A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS ⋮ Almost Cohen-Macaulay and almost regular algebras via almost flat extensions ⋮ Unnamed Item ⋮ Local cohomology of Segre product type rings ⋮ When almost Cohen–Macaulay algebras map into big Cohen–Macaulay modules ⋮ Characteristic-free test ideals ⋮ A generalization of Maloo's theorem on freeness of derivation modules

Cites Work

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• Infinite integral extensions and big Cohen-Macaulay algebras
• The direct summand conjecture in dimension three.
• Big Cohen-Macaulay algebras in dimension three via Heitmann's theorem.
• Canonical elements in local cohomology modules and the direct summand conjecture
• Multigraded rings, diagonal subalgebras, and rational singularities
• Generalized ring of norms and generalized (φ,Γ)(φ,Γ)-modules
• Le corps des normes de certaines extensions infinies de corps locaux; applications
• Two applications of dualizing complexes over local rings

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