A characterization of counterexamples to the Kodaira-Ramanujam vanishing theorem on surfaces in positive characteristic

DOI10.1007/S11401-011-0668-XzbMath1302.14015OpenAlexW2073524969WikidataQ125023199 ScholiaQ125023199MaRDI QIDQ741451

Qihong Xie

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-011-0668-x

zbMATH Keywords

characterizationcounterexampleKodaira-Ramanujam vanishing

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Minimal model program (Mori theory, extremal rays) (14E30)

Cites Work

• Counterexamples to the Kawamata-Viehweg vanishing on ruled surfaces in positive characteristic
• Kawamata-Viehweg vanishing on rational surfaces in positive characteristic
• Relèvements modulo \(p^ 2\) et décomposition du complexe de de Rham. (Lifting modulo \(p^ 2\) and decomposition of the de Rham complex)
• Canonical models of surfaces of general type in positive characteristic
• Enriques' classification of surfaces in char p. III
• The \(d\)-very ampleness on a projective surface in positive characteristic
• Strongly liftable schemes and the Kawamata-Viehweg vanishing in positive characteristic
• On the Behavior of Extensions of Vector Bundles Under the Frobenius Map
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A characterization of counterexamples to the Kodaira-Ramanujam vanishing theorem on surfaces in positive characteristic