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

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.

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