Fano 4-folds with nef tangent bundle in positive characteristic

2022/10/31 by Takahashi, Yuta, Watanabe, Kiwamu
#14E30 #14J35 #14J45 #14M17 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.17055

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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