Effective non-vanishing for algebraic surfaces in positive characteristic

[摘要] We give a theorem on the effective non-vanishing problem for algebraic surfaces in positive characteristic. For the Kawamata-Viehweg vanishing, the logarithmic Kollar vanishing and the logarithmic semipositivity, we give their counterexamples on ruled surfaces in positive characteristic. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-11-15

[关键词] effective non-vanishing;Kawamata-Viehweg vanishing;logarithmic semipositivity