activity
20062024
most citedOn the arithmetic of abelian varieties

4 citations · 10 across the 12 of their papers we have counts for

collaborators

13 papers

math.NT2024

Uniqueness of indecomposable idempotents in algebras with involution

Valentijn Karemaker, Akio Tamagawa, Chia-Fu Yu

We prove uniqueness of a decomposition of into indecomposable Hermitian idempotents in an order of a finite-dimensional -algebra with positive involution, by genera…

math.NT2019

The -step solvable anabelian geometry of number fields

Mohamed Saidi, Akio Tamagawa

Given a number field and an integer , let denote the maximal -step solvable Galois extension of and write for the maximal -step solvable Galois…

math.AG2018

Cyclic covers and Ihara's Question

Christopher Rasmussen, Akio Tamagawa

Let be a rational prime and a number field. Given a superelliptic curve of -power degree, we describe the field generated by the -power torsion of the…

math.AG2017

A refined version of Grothendieck's anabelian conjecture for hyperbolic curves over finite fields

Mohamed Saidi, Akio Tamagawa

In this paper we prove a refined version of a theorem by Tamagawa and Mochizuki on isomorphisms between (tame) arithmetic fundamental groups of hyperbolic curves over finite fields…

math.NT2017

Geometric monodromy -- semisimplicity and maximality

Anna Cadoret, Chun Yin Hui, Akio Tamagawa

Let be a connected scheme, smooth and separated over an algebraically closed field of characteristic , let be a smooth proper morphism and a…

math.NT2015

A refined version of Grothendieck's birational anabelian conjecture for curves over finite fields

Mohamed Saidi, Akio Tamagawa

In this paper we prove a refined version of Uchida's theorem on isomorphisms between absolute Galois groups of global fields in positive characteristics, where one "ignores" the in…