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.