On the -purity of isolated log canonical singularities

DOI10.1112/S0010437X1300715XzbMath1307.14004arXiv1112.2383OpenAlexW2963936816MaRDI QIDQ5396100

Shunsuke Takagi, Osamu Fujino

Publication date: 5 February 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2383

zbMATH Keywords

log canonical singularities\(F\)-pure singularities

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Minimal model program (Mori theory, extremal rays) (14E30) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

$F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ Characterization of varieties of Fano type via singularities of Cox rings ⋮ Quantifying singularities with differential operators ⋮ Surfaces of globally \(F\)-regular and \(F\)-split type

Cites Work

• Unnamed Item
• Semi-log canonical vs \(F\)-pure singularities
• Fundamental theorems for the log minimal model program
• On isolated Gorenstein singularities
• Globally \(F\)-regular and log Fano varieties
• Ordinary reduction of K3 surfaces
• \(F\)-regular and \(F\)-pure normal graded rings
• Normal F-pure surface singularities
• The purity of the Frobenius and local cohomology
• Classification of two-dimensional F-regular and F-pure singularities
• Abundance theorem for semi log canonical threefolds
• Semi-stable minimal model program for varieties with trivial canonical divisor
• The indices of log canonical singularities
• Ordinary varieties and the comparison between multiplier ideals and test ideals
• Tight closure and strong F-regularity
• Existence of minimal models for varieties of log general type
• Singularities on normal varieties
• A characterization of rational singularities in terms of injectivity of Frobenius maps
• F-regular and F-pure rings vs. log terminal and log canonical singularities
• What is log terminal?