Generic positivity and foliations in positive characteristic |
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Authors: | Adrian Langer |
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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 |
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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. |
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Keywords: | Tangent bundle Foliations Nef line bundle Positive characteristic |
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