3 papers
math.NT2026
Kummer-faithful fields with finitely generated absolute Galois group
Takuya Asayama
This paper studies the structure of the Mordell--Weil groups of semiabelian varieties over algebraic extensions of number fields whose absolute Galois group is finitely generated,…
math.NT2025
Mordell--Weil groups over large algebraic extensions of fields of characteristic zero
Takuya Asayama, Yuichiro Taguchi
We study the structure of the Mordell--Weil groups of semiabelian varieties over large algebraic extensions of a finitely generated field of characteristic zero. We consider two ty…
math.NT2024
Ramification of Tate modules for rank Drinfeld modules
Takuya Asayama, Maozhou Huang
In this paper, we study the ramification of extensions of a function field generated by division points of rank 2 Drinfeld modules. Also conductors of certain rank 2 Drinfeld modul…