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arXiv · 1906.01274

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

Chia-Fu Yu
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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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Chia-Fu Yu. 2019-06-04. Chow's theorem for semi-abelian varieties and bounds for splitting fields of algebraic tori. https://arxiv.org/abs/1906.01274

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