On log del Pezzo surfaces in large characteristic

DOI10.1112/S0010437X16008265zbMath1419.14020arXiv1601.03583OpenAlexW3100637265MaRDI QIDQ2990007

Jakub Witaszek, Paolo Cascini, Hiromu Tanaka

Publication date: 9 June 2017

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

Full work available at URL: https://arxiv.org/abs/1601.03583

zbMATH Keywords

positive characteristiclog del Pezzo surfaceKawamata-Viehweg vanishing$F$-singularities

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Minimal model program (Mori theory, extremal rays) (14E30) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

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Cites Work

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• The Bogomolov-Miyaoka-Yau inequality for logarithmic surfaces in positive characteristic
• Minimal model theory for log surfaces
• A canonical linear system associated to adjoint divisors in characteristic \(p>0\)
• Existence of Mori fibre spaces for 3-folds in char \(p\)
• \(F\)-adjunction
• Globally \(F\)-regular and log Fano varieties
• \(F\)-regular and \(F\)-pure normal graded rings
• Two two-dimensional terminations
• Threefold thresholds
• On strongly \(F\)-regular inversion of adjunction
• Effective bounds on singular surfaces in positive characteristic
• On base point freeness in positive characteristic
• Uniform bounds for strongly 𝐹-regular surfaces
• Existence of flips and minimal models for 3-folds in char $p$
• The X-method for klt surfaces in positive characteristic
• A characterization of rational singularities in terms of injectivity of Frobenius maps
• Rational curves on quasi-projective surfaces
• BOUNDEDNESS AND K² FOR LOG SURFACES
• Klt del Pezzo surfaces which are not Globally F-split
• Introduction
• Etale Cohomology Theory
• Minimal Models and Abundance for Positive Characteristic Log Surfaces
• On the three dimensional minimal model program in positive characteristic
• Algebraic surfaces. Transl. from the Romanian by V. Maşek
• Lectures on complements on log surfaces