3 papers
math.AG2026
Families of curves separating points
Wojciech Porowski
We show that for a hyperbolic curve X over an algebraically closed field k of characteristic zero and a finite set S of k-rational points of X, after replacing X by a finite étale…
math.AG2025
On reductions of Selmer sections
Wojciech Porowski
We consider reductions of Selmer sections of the étale homotopy sequence of a hyperbolic curve over a number field. We show that the conjugacy class of a noncuspidal Selmer section…
math.NT2023
Locally conjugate Galois sections
Wojciech Porowski
We consider sections of the étale homotopy exact sequence of a hyperbolic curve over a number field. We prove that two sections whose restrictions to decomposition groups are conju…