Fano $4$-folds with nef tangent bundle in positive characteristic
Algebraic Geometry
2022-11-01 v1 Complex Variables
Differential Geometry
Abstract
In characteristic , the Campana-Peternell conjecture claims that the only smooth Fano variety with nef tangent bundle should be homogeneous. In this paper, we study the positive characteristic version of the Campana-Peternell conjecture. In particular, we give an affirmative answer for Fano -folds with nef tangent bundle and Picard number greater than one.
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Cite
@article{arxiv.2210.17055,
title = {Fano $4$-folds with nef tangent bundle in positive characteristic},
author = {Yuta Takahashi and Kiwamu Watanabe},
journal= {arXiv preprint arXiv:2210.17055},
year = {2022}
}
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11 pages