2 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 . We prove that this group has no nontrivial finite solvable qu…
math.NT2026
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…