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Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic

Qihong Xie

Published 2005-09-05, updated 2006-05-23Version 4

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.

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