Classification of two-dimensional F-regular and F-pure singularities

DOI10.1006/aima.1997.1682zbMath0905.13002OpenAlexW2049865189MaRDI QIDQ1380330

Nobuo Hara

Publication date: 2 February 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1682

zbMATH Keywords

characteristic \(p\)minimal resolution\(F\)-regular singularitiesrational \(F\)-pure singularities

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (27)

The violation of the Lipman-Zariski conjecture in positive characteristic ⋮ F-regular and F-pure rings vs. log terminal and log canonical singularities ⋮ On the adjunction formula for 3-folds in characteristic \(p>5\) ⋮ Global \(F\)-splitting of surfaces admitting an int-amplified endomorphism ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ Canonical singularities of dimension three in characteristic \(2\) which do not follow Reid's rules ⋮ Bogomolov-Sommese type vanishing for globally \(F\)-regular threefolds ⋮ The FFRT property of two-dimensional normal graded rings and orbifold curves ⋮ Log canonical foliation singularities on surfaces ⋮ A connectedness result in positive characteristic ⋮ Polarized endomorphisms of normal projective threefolds in arbitrary characteristic ⋮ Actions of \(\mu_p\) on canonically polarized surfaces in characteristic \(p>0\) ⋮ Abundance for non‐uniruled 3‐folds with non‐trivial Albanese maps in positive characteristics ⋮ Test ideals of non-principal ideals: computations, jumping numbers, alterations and division theorems ⋮ A Guided Tour to Normalized Volume ⋮ On the -purity of isolated log canonical singularities ⋮ Frobenius splitting for some abelian fiber spaces ⋮ Uniform bounds for strongly 𝐹-regular surfaces ⋮ Rees algebras of F-regular type. ⋮ GENERAL HYPERPLANE SECTIONS OF THREEFOLDS IN POSITIVE CHARACTERISTIC ⋮ On the abundance problem for 3-folds in characteristic \(p>5\) ⋮ Positive characteristic algebraic geometry ⋮ Subadditivity of Kodaira dimensions for fibrations of three-folds in positive characteristics ⋮ F-blowups of F-regular surface singularities ⋮ IITAKA CONJECTURE FOR 3-FOLDS OVER FINITE FIELDS ⋮ On the three dimensional minimal model program in positive characteristic ⋮ Differential forms on log canonical spaces in positive characteristic

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