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.NT2024
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.NT2020
Torsion points of Drinfeld modules over large algebraic extensions of finitely generated function fields
Takuya Asayama
Geyer and Jarden proved several results for torsion points of elliptic curves defined over the fixed field by finitely many elements in the absolute Galois group of a finitely gene…