Counterexamples to the Kawamata-Viehweg vanishing on ruled surfaces in positive characteristic

[摘要] We give counterexamples to the Kawamata-Viehweg vanishing theorem on ruled surfaces in positive characteristic and prove that if there is a counterexample to the Kawamata-Viehweg vanishing theorem on a geometrically ruled surface f X -> C then either C is a Tango curve or all of sections of f are ample (C) 2010 Elsevier Inc All rights reserved

[发布日期] 2010-12-15

[关键词] Kawamata-Viehweg vanishing;Counterexample;Positive characteristic