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.
CITATION STYLE
Xie, Q. (2006). Effective non-vanishing for algebraic surfaces in positive characteristic. Journal of Algebra, 305(2), 1111–1127. https://doi.org/10.1016/j.jalgebra.2006.06.008
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