8 citations · 13 across the 4 of their papers we have counts for
8 papers
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}…
Topological realisations of absolute Galois groups
Robert A. Kucharczyk, Peter Scholze
Let be a field of characteristic containing all roots of unity. We construct a functorial compact Hausdorff space whose profinite fundamental group agrees with the ab…
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…
Modular Embeddings and Rigidity for Fuchsian Groups
Robert A. Kucharczyk
We prove a rigidity theorem for semi-arithmetic Fuchsian groups: If , are two semi-arithmetic lattices in virtually admitting modular embedd…
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…
Enumerating Trees
Robert A. Kucharczyk
In this note we discuss trees similar to the Calkin-Wilf tree, a binary tree that enumerates all positive rational numbers in a simple way. The original construction of Calkin and…
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,…