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arXiv · 2210.17055

Fano $4$-folds with nef tangent bundle in positive characteristic

Yuta Takahashi·Kiwamu Watanabe
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Abstract

In characteristic $0$, 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 $4$-folds with nef tangent bundle and Picard number greater than one.

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Yuta Takahashi, Kiwamu Watanabe. 2022-10-31. Fano $4$-folds with nef tangent bundle in positive characteristic. https://arxiv.org/abs/2210.17055

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