Non-normal purely log terminal centres in characteristic \(p \geqslant 3\)

DOI10.1007/s40879-018-00310-7zbMath1461.14021OpenAlexW2964305716MaRDI QIDQ2010407

Fabio Bernasconi

Publication date: 27 November 2019

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-018-00310-7

zbMATH Keywords

Fano varietiespositive characteristicvanishing theoremsMMP singularities

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (2)

New directions in the minimal model program ⋮ On the relative minimal model program for threefolds in low characteristics

Cites Work

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• Effective Matsusaka's theorem for surfaces in characteristic \(p\)
• Existence of Mori fibre spaces for 3-folds in char \(p\)
• Canonical models of surfaces of general type in positive characteristic
• Elementary counterexamples to Kodaira vanishing in prime characteristic
• Minimal model program for log canonical threefolds in positive characteristic
• Kawamata-Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3
• Rational points on log Fano threefolds over a finite field
• Counterexamples to Kodaira's vanishing and Yau's inequality in positive characteristics
• On base point freeness in positive characteristic
• Existence of flips and minimal models for 3-folds in char $p$
• Existence of minimal models for varieties of log general type
• Non-Cohen-Macaulay canonical singularities
• Introduction
• Purely Log Terminal Threefolds with Non-Normal Centres in Characteristic Two
• On the rationality of Kawamata log terminal singularities in positive characteristic
• The failure of Kodaira vanishing for Fano varieties, and terminal singularities that are not Cohen-Macaulay
• On the three dimensional minimal model program in positive characteristic
• Some elementary examples of non-liftable varieties
• Extension theorems and the existence of flips

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