R. Shimizu

activity

20202026

most citedThe Neukirch-Uchida theorem with restricted ramification

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.AG2026

On branched coverings of the projective line over the integers

Ryoji Shimizu, Naganori Yamaguchi

We investigate the étale fundamental group of the complement of a horizontal divisor on $P_{Z}^{1}$ . We prove that this group has no nontrivial finite solvable qu…

math.NT2025

Étale fundamental groups of smooth arithmetic surfaces and the Grothendieck conjecture

Ryoji Shimizu, Naganori Yamaguchi

We study the structure of the étale fundamental groups of smooth curves over certain arithmetic schemes, and investigate the relative version of Grothendieck's anabelian conjecture…

math.NT2023

The pro- $C$ anabelian geometry of number fields

Ryoji Shimizu

Let $K$ be a number field and $C$ a full class of finite groups. We write $K^{C} / K$ for the maximal pro- $C$ Galois extension of $K$ , and $G_K^{\mathca…

math.NT2021

Isomorphisms of Galois groups of number fields with restricted ramification

Ryoji Shimizu

Let $K$ be a number field and $S$ a set of primes of $K$ . We write $K_{S} / K$ for the maximal extension of $K$ unramified outside $S$ and $G_{K, S}$ for its Galois group. In this paper…

math.NT2020★ 1 cited

The Neukirch-Uchida theorem with restricted ramification

Ryoji Shimizu

Let $K$ be a number field and $S$ a set of primes of $K$ . We write $K_{S} / K$ for the maximal extension of $K$ unramified outside $S$ and $G_{K, S}$ for its Galois group. In this paper…

On branched coverings of the projective line over the integers

Étale fundamental groups of smooth arithmetic surfaces and the Grothendieck conjecture

The pro-C anabelian geometry of number fields

Isomorphisms of Galois groups of number fields with restricted ramification

The Neukirch-Uchida theorem with restricted ramification

The pro- $C$ anabelian geometry of number fields