A characterization of closure operations that induce big Cohen-Macaulay modules

DOI10.1090/S0002-9939-2010-10417-3zbMath1206.13017arXiv0911.0398OpenAlexW2012090773MaRDI QIDQ3056531

Geoffrey D. Dietz

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0398

zbMATH Keywords

tight closurebig Cohen-Macaulay modules

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Cohen-Macaulay modules (13C14)

Related Items (12)

Existence of almost Cohen-Macaulay algebras implies the existence of big Cohen-Macaulay algebras ⋮ Closure operations in complete local rings of mixed characteristic ⋮ Closure operations that induce big Cohen-Macaulay modules and classification of singularities ⋮ APPLICATIONS OF CLOSURE OPERATIONS ON BIG COHEN–MACAULAY ALGEBRAS ⋮ Tight closure and strongly F-regular rings ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ Closure operations that induce big Cohen-Macaulay algebras ⋮ Axiomatic closure operations, phantom extensions, and solidity ⋮ When almost Cohen–Macaulay algebras map into big Cohen–Macaulay modules ⋮ Closure-interior duality over complete local rings ⋮ Characteristic-free test ideals ⋮ Finiteness properties and numerical behavior of local cohomology

Cites Work

• Infinite integral extensions and big Cohen-Macaulay algebras
• Tight closure of parameter ideals
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Big Cohen-Macaulay algebras and seeds
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