arXiv Analytics

Sign in

arXiv:math/0702554 [math.AG]AbstractReferencesReviewsResources

Counterexamples to the Kawamata-Viehweg Vanishing on Ruled Surfaces in Positive Characteristic

Qihong Xie

Published 2007-02-19, updated 2010-09-14Version 7

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.

Comments: 15 pages, final version
Categories: math.AG
Subjects: 14J26, 14E30
Related articles: Most relevant | Search more
arXiv:math/0509086 [math.AG] (Published 2005-09-05, updated 2006-05-23)
Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic
arXiv:1308.5371 [math.AG] (Published 2013-08-25, updated 2014-03-05)
On subadditivity of Kodaira dimension in positive characteristic
arXiv:1308.5445 [math.AG] (Published 2013-08-25)
Log canonical thresholds in positive characteristic

Links

Toolbox