Effective non-vanishing for algebraic surfaces in positive characteristic

  • Xie Q
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Abstract

We give a theorem on the effective non-vanishing problem for algebraic surfaces in positive characteristic. For the Kawamata-Viehweg vanishing, the logarithmic Kollár vanishing and the logarithmic semipositivity, we give their counterexamples on ruled surfaces in positive characteristic. © 2006 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Effective non-vanishing
  • Kawamata-Viehweg vanishing
  • Logarithmic semipositivity

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Authors

  • Qihong Xie

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