Big Cohen-Macaulay algebras and seeds

DOI10.1090/S0002-9947-07-04252-3zbMath1143.13015arXivmath/0508358MaRDI QIDQ3592764

Geoffrey D. Dietz

Publication date: 24 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0508358

zbMATH Keywords

tight closureseed

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Cohen-Macaulay modules (13C14) Commutative ring extensions and related topics (13B99)

Related Items (15)

Integral perfectoid big Cohen-Macaulay algebras via André's theorem ⋮ On the Witt Vectors of Perfect Rings in Positive Characteristic ⋮ APPLICATIONS OF CLOSURE OPERATIONS ON BIG COHEN–MACAULAY ALGEBRAS ⋮ On the canonical, fpqc, and finite topologies on affine schemes. The state of the art ⋮ An analogue of adjoint ideals and PLT singularities in mixed characteristic ⋮ Quasilength, latent regular sequences, and content of local cohomology ⋮ Tight closure and strongly F-regular rings ⋮ Almost Cohen-Macaulay and almost regular algebras via almost flat extensions ⋮ Closure operations that induce big Cohen-Macaulay algebras ⋮ Axiomatic closure operations, phantom extensions, and solidity ⋮ Characteristic-free test ideals ⋮ A characterization of closure operations that induce big Cohen-Macaulay modules ⋮ Big Cohen-Macaulay and seed algebras in equal characteristic zero via ultraproducts ⋮ Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras ⋮ Weak functoriality of Cohen-Macaulay algebras

Cites Work

• Infinite integral extensions and big Cohen-Macaulay algebras
• Structure of local homomorphisms
• The direct summand conjecture in dimension three.
• Big Cohen-Macaulay algebras in dimension three via Heitmann's theorem.
• Applications of the existence of big Cohen-Macaulay algebras
• Lectures on the fourteenth problem of Hilbert
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• F-Regularity, Test Elements, and Smooth Base Change
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Big Cohen-Macaulay algebras and seeds