Surfaces of globally \(F\)-regular and \(F\)-split type

DOI10.1007/s00208-015-1238-4zbMath1342.14085arXiv1305.3056OpenAlexW1743150644MaRDI QIDQ261410

Yoshinori Gongyo, Shunsuke Takagi

Publication date: 23 March 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3056

zbMATH Keywords

Zariski decompositionglobally \(F\)-regularglobally \(F\)-splitlog Calabi-Yaulog Fano

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Fano varieties (14J45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items

Global \(F\)-splitting of surfaces admitting an int-amplified endomorphism, $F$-singularities: applications of characteristic $p$ methods to singularity theory, Bertini theorems admitting base changes, Frobenius splitting for some abelian fiber spaces, When is the Albanese morphism an algebraic fiber space in positive characteristic?, On rational connectedness of globally \(F\)-regular threefolds, Characterization of log del Pezzo pairs via anticanonical models

Cites Work

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• Big rational surfaces
• Anticanonical models of rational surfaces
• Globally \(F\)-regular and log Fano varieties
• Frobenius splitting and cohomology vanishing for Schubert varieties
• On Zariski problem
• Normal F-pure surface singularities
• Basepoint freeness for nef and big line bundles in positive characteristic
• Complements on surfaces.
• Zariski-decomposition and abundance
• Characterization of log del Pezzo pairs via anticanonical models
• Log pluricanonical representations and the abundance conjecture
• Characterization of varieties of Fano type via singularities of Cox rings
• Towards the second main theorem on complements
• Multiple Fibers on Rational Elliptic Surfaces
• Some remarks on nef and good divisors on an algebraic variety
• F-regular and F-pure rings vs. log terminal and log canonical singularities
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• On the three dimensional minimal model program in positive characteristic
• On the -purity of isolated log canonical singularities
• Nef and semiample divisors on rational surfaces
• Algebraic surfaces. Transl. from the Romanian by V. Maşek
• Lectures on complements on log surfaces
• Globally F-regular varieties: Applications to vanishing theorems for quotients of Fano varieties
• Rees algebras of F-regular type.