Singularities and perfectoid geometry

DOI10.1007/s40306-020-00378-yzbMath1461.13016OpenAlexW3045839935MaRDI QIDQ2023887

Yves André

Publication date: 3 May 2021

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-020-00378-y

zbMATH Keywords

singularitiesbig Cohen-Macaulay algebraperfectoid 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) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Perfectoid spaces and mixed characteristic (14G45)

Cites Work

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• Homological conjectures, old and new
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• PERFECTOID SPACES AND THE HOMOLOGICAL CONJECTURES
• Weak functoriality of Cohen-Macaulay algebras
• On Isolated Rational Singularities of Surfaces
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• Uniform bounds and symbolic powers on smooth varieties