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

JOURNAL OF ALGEBRA

卷:324

Article

Xie, Qihong

关键词: Kawamata-Viehweg vanishing;    Counterexample;    Positive characteristic;   

DOI  :  10.1016/j.jalgebra.2010.09.009

来源: Elsevier

【 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

【 授权许可】

Free