On accumulation points of \(F\)-pure thresholds on regular local rings

DOI10.1016/j.jalgebra.2023.02.010OpenAlexW4321438399MaRDI QIDQ2693361

Kenta Sato

Publication date: 20 March 2023

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

Full work available at URL: https://arxiv.org/abs/2001.08923

zbMATH Keywords

\(F\)-pure thresholdsaccumulation pointsstrongly \(F\)-regular singularitiesnon-standard extension

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Cites Work

• \(F\)-pure thresholds of homogeneous polynomials
• Adjoint ideals and a correspondence between log canonicity and \(F\)-purity
• On the constancy regions for mixed test ideals
• Test ideals of non-principal ideals: computations, jumping numbers, alterations and division theorems
• ACC for log canonical thresholds
• Discreteness and rationality of \(F\)-thresholds
• Ascending chain condition for log canonical thresholds and termination of log flips
• Shokurov's ACC conjecture for log canonical thresholds on smooth varieties
• \(F\)-adjunction
• Centers of \(F\)-purity
• Discreteness and rationality of \(F\)-jumping numbers on singular varieties
• The use of ultraproducts in commutative algebra
• On F-pure thresholds
• Singularities of linear systems and boundedness of Fano varieties
• Test ideals in non-$\mathbb{Q}$-Gorenstein rings
• Ascending Chain Condition for F-Pure Thresholds with Fixed Embedding Dimension
• Formulas for multiplier ideals on singular varieties
• $F$-thresholds of hypersurfaces
• On Noetherian Rings of Characteristic p
• Singularities of Pairs
• On a generalization of test ideals
• An interpretation of multiplier ideals via tight closure
• Ascending chain condition for -pure thresholds on a fixed strongly -regular germ