On Kawamata-Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic

DOI10.1090/tran/8369zbMath1467.14055arXiv2004.07125OpenAlexW3118566889MaRDI QIDQ5004549

Tatsuro Kawakami

Publication date: 2 August 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07125

zbMATH Keywords

positive characteristicdel Pezzo surfacesMori fiber spacesFano threefoldsKawamata-Viehweg vanishing

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Vanishing theorems in algebraic geometry (14F17) (3)-folds (14J30) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Positive characteristic ground fields in algebraic geometry (14G17)

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Cites Work

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• Séminaire sur les singularités des surfaces. Centre de Mathématiques de l'École Polytechnique, Palaiseau 1976-1977
• Normal Gorenstein surfaces with ample anti-canonical divisor
• On the height of Calabi-Yau varieties in positive characteristic
• Fano threefolds with wild conic bundle structures
• Fano threefolds with Picard number 2 in positive characteristic
• Smooth rational surfaces violating Kawamata-Viehweg vanishing
• Frobenius splitting methods in geometry and representation theory
• Nonnormal del Pezzo surfaces
• Behavior of canonical divisors under purely inseparable base changes
• Nonvanishing for 3-folds in characteristic \(p>5\)
• On rational connectedness of globally \(F\)-regular threefolds
• Counterexamples to Kodaira's vanishing and Yau's inequality in positive characteristics
• Existence of flips and minimal models for 3-folds in char $p$
• Regular del Pezzo surfaces with irregularity
• The X-method for klt surfaces in positive characteristic
• Extremal rays on smooth threefolds
• Nonrational Hypersurfaces
• Introduction
• Purely Log Terminal Threefolds with Non-Normal Centres in Characteristic Two
• Del Pezzo surfaces and Mori fiber spaces in positive characteristic
• The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay
• Minimal Models and Abundance for Positive Characteristic Log Surfaces
• Contracted ideals from integral extensions of regular rings
• Algebraic surfaces. Transl. from the Romanian by V. Maşek