%0 Journal Article
%T Counterexamples to the Kawamata-Viehweg Vanishing on Ruled Surfaces in Positive Characteristic
%A Qihong Xie
%J Mathematics
%D 2007
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0702554v7