Tight closure, coherence, and localization at single elements

DOI10.1007/s40306-024-00533-9MaRDI QIDQ6597140

Neil Epstein

Publication date: 3 September 2024

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

zbMATH Keywords

tight closurelocalizationprime characteristicquasi-coherent sheaves

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Positive characteristic ground fields in algebraic geometry (14G17) Sheaves in algebraic geometry (14F06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tight closure does not commute with localization
• Strongly divisorial ideals and complete integral closure of an integral domain
• A tight closure proof of Fujita's freeness conjecture for very ample line bundles
• Local Okounkov bodies and limits in prime characteristic
• The multiplier ideal is a universal test ideal
• A guide to closure operations in commutative algebra
• F-rational rings have rational singularities
• Tight closure and strong F-regularity
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• A characterization of rational singularities in terms of injectivity of Frobenius maps
• F-Regularity, Test Elements, and Smooth Base Change
• A generalization of tight closure and multiplier ideals
• Test ideals via algebras of 𝑝^{-𝑒}-linear maps
• Rings, Modules, and Closure Operations
• A CharacteristicpAnalog of Multiplier Ideals and Applications^#
• Uniform bounds and symbolic powers on smooth varieties

This page was built for publication: Tight closure, coherence, and localization at single elements