Chow's theorem for semi-abelian varieties and bounds for splitting fields of algebraic tori

2019/06/04 by Yu, Chia-Fu
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1906.01274

Abstract

A theorem of Chow concerns homomorphisms of two abelian varieties under a primary field extension base change. In this paper we generalize Chow's theorem to semi-abelian varieties. This contributes to different proofs of a well-known result that every algebraic torus splits over a finite separable field extension. We also obtain the best bound for the degrees of splitting fields of tori.

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