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5 papers · 2 filters
Non-existence of certain CM abelian varieties with prime power torsion
Yoshiyasu Ozeki
In this paper, we study a conjecture of Rasmussen and Tamagawa, on the finiteness of the set of isomorphism classes of abelian varieties with constrained prime power torsion. Our r…
Non-existence of elliptic curves with everywhere good reduction over some real quadratic fields
Shun'ichi Yokoyama, Yu Shimasaki
We prove the non-existence of elliptic curves having good reduction everywhere over some real quadratic fields.
On v-adic periods of t-motives
Yoshinori Mishiba
In this paper, we prove the equality between the transcendental degree of the field generated by the v-adic periods of a t-motive M and the dimension of the Tannakian Galois group…
An ultrametric space of Eisenstein polynomials and ramification theory
Manabu Yoshida
We give a criterion whether given Eisenstein polynomials over a local field K define the same extension over K in terms of a certain non-Archimedean metric on the set of polynomial…
A refinement of the local class field theory of Serre and Hazewinkel
Takashi Suzuki, Manabu Yoshida
We give a refinement of the local class field theory of Serre and Hazewinkel. This refinement allows the theory to treat extensions that are not necessarily totally ramified. Such…