Big Cohen-Macaulay test ideals on mixed characteristic toric schemes

DOI10.1216/jca.2022.14.591OpenAlexW2982029408MaRDI QIDQ2108573

Marcus Robinson

Publication date: 19 December 2022

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

Full work available at URL: https://arxiv.org/abs/1910.10297

zbMATH Keywords

algebraic geometrycommutative algebratest idealsbig Cohen-Macaulaymixed characteristic

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Multiplier ideals (14F18) Perfectoid spaces and mixed characteristic (14G45)

Cites Work

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• The direct factor conjecture
• Multiplier ideals and modules on toric varieties
• Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers
• Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras
• Multiplier ideals of monomial ideals
• Introduction to Toric Varieties. (AM-131)
• A generalization of tight closure and multiplier ideals
• Weak functoriality of Cohen-Macaulay algebras

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