English

Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic

Algebraic Geometry 2007-05-23 v4

Abstract

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.

Keywords

Cite

@article{arxiv.math/0509086,
  title  = {Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic},
  author = {Qihong Xie},
  journal= {arXiv preprint arXiv:math/0509086},
  year   = {2007}
}

Comments

17 pages

R2 v1 2026-07-22T17:24:07.801Z