8 citations · 13 across the 4 of their papers we have counts for
5 papers · 1 filter
Algebraicity of analytic maps to a hyperbolic variety
Ariyan Javanpeykar, Robert A. Kucharczyk
Let be an algebraic variety over . We say that is Borel hyperbolic if, for every finite type reduced scheme over , every holomorphic map $S^{an}…
Modular embeddings and automorphic Higgs bundles
Robert A. Kucharczyk
We investigate modular embeddings for semi-arithmetic Fuchsian groups. First we prove some purely algebro-geometric or even topological criteria for a regular map from a smooth com…
The Galois action on Hurwitz curves
Robert A. Kucharczyk
We make some observations concerning the Galois actions on Hurwitz curves and on the closely related but lesser-known Hurwitz origamis.
On copies of the absolute Galois group in
Robert A. Kucharczyk
In this article we consider outer Galois actions on a free profinite group of rank two, induced by the étale fundamental group of a projective line minus three points or of a point…
Real Multiplication on Jacobian Varieties
Robert A. Kucharczyk
This is a slightly revised version of the author's 2010 diploma thesis. It is concerned with the interplay between real multiplication on Jacobian varieties, as the title suggests,…