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pro vyhledávání: '"Asayama, Takuya"'
Autor:
Asayama, Takuya, Taguchi, Yuichiro
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 types of algebraic extensions in this paper; one is of extensions obtain
Externí odkaz:
http://arxiv.org/abs/2408.03495
Autor:
Asayama, Takuya
A perfect field $K$ is said to be Kummer-faithful if the Mordell-Weil group of every semi-abelian variety over every finite extension of $K$ has no nonzero divisible element. The class of Kummer-faithful fields contains that of sub-$p$-adic fields an
Externí odkaz:
http://arxiv.org/abs/2303.04396
Autor:
Asayama, Takuya, Huang, Maozhou
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 modules are defined as analogues of those for elliptic curves. A calculatio
Externí odkaz:
http://arxiv.org/abs/2204.13275
Autor:
Asayama, Takuya
Publikováno v:
J. Number Theory 226(2021), 358--372
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 generated field over the prime field in its algebraic closure. As an analo
Externí odkaz:
http://arxiv.org/abs/2007.13949
