Chow’s Theorem for Semi-abelian Varieties and Bounds for Splitting Fields of Algebraic Tori

作     者：Chia Fu YU 

作者机构：Institute of Mathematics Academia Sinica & NCTS Astronomy Mathematics Building 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2019年第35卷第9期

页      面：1453-1463页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the MoST(Grant Nos.104-2115-M-001-001-MY3 and 107-2115-M-001-001-MY2) 

主　　题：Algebraic tori splitting fields semi-abelian varieties inverse Galois problem 

摘      要：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 *** 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.