7 papers
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…
A note on highly Kummer-faithful fields
Yoshiyasu Ozeki, Yuichiro Taguchi
We introduce a notion of highly Kummer-faithful fields and study its relationship with the notion of Kummer-faithful fields. We also give some examples of highly Kummer-faithful fi…
On congruences of Galois representations of number fields
Yoshiyasu Ozeki, Yuichiro Taguchi
We give a criterion for two l-adic Galois representations of an algebraic number field to be isomorphic when restricted to a decomposition group, in terms of the global representat…
A generalization of a theorem of Imai and its applications to Iwasawa theory
Yusuke Kubo, Yuichiro Taguchi
It is proved that, if is a complete discrete valuation field of mixed characteristic with residue field satisfying a mild condition, then any abelian variety over w…
Extensions of truncated discrete valuation rings II
Toshiro Hiranouchi, Yuichiro Taguchi
An equivalence is established between the category of at most -ramified finite separable extensions of a complete discrete valuation field and the category of at most -ra…
Flat modules and Gröbner bases over truncated discrete valuation rings
Toshiro Hiranouchi, Yuichiro Taguchi
We present basic properties of Gröbner bases of submodules of a free module of finite rank over a polynomial ring with coefficients in a graded truncated discrete valuations ri…