Weak functoriality of Cohen-Macaulay algebras

DOI10.1090/jams/937zbMath1458.13015arXiv1801.10010OpenAlexW2989730487MaRDI QIDQ5220194

Yves André

Publication date: 11 March 2020

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

Full work available at URL: https://arxiv.org/abs/1801.10010

zbMATH Keywords

big Cohen-Macaulay algebradirect summand conjectureperfectoid algebra

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Regular local rings (13H05) Perfectoid spaces and mixed characteristic (14G45)

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Maximal Cohen-Macaulay Complexes and Their Uses: A Partial Survey, 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, Algebraic geometry in mixed characteristic, A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS, Frobenius splitting, strong F-regularity, and small Cohen-Macaulay modules, Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic, Reductions towards a characteristic free proof of the Canonical Element Theorem, Finiteness properties and numerical behavior of local cohomology, Singularities in mixed characteristic. The perfectoid approach, Singularities and perfectoid geometry, Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras, Big Cohen-Macaulay test ideals on mixed characteristic toric schemes

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