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Generic positivity and foliations in positive characteristic
Authors:Adrian Langer
Affiliation:1. Institute of Mathematics, Polish Academy of Sciences, ul. ?niadeckich 8, 00-656 Warsaw, Poland;2. Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, Poland
Abstract:We prove generic semipositivity of the tangent bundle of a non-uniruled Calabi–Yau variety in positive characteristic. We also construct an example of a nef line bundle in characteristic zero, whose each reduction to positive characteristic is not nef.
Keywords:Tangent bundle   Foliations   Nef line bundle   Positive characteristic
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