Nonhomeomorphic conjugates of connected Shimura varieties
Algebraic Geometry
2021-01-19 v1 Number Theory
Abstract
We show that conjugation by an automorphism of the complex numbers (as an abstract field) may change the topological fundamental group of a locally symmetric variety over C. As a consequence, we obtain a large class of algebraic varieties defined over number fields with the property that different embeddings of the number field into C give complex varieties with nonisomorphic fundamental groups.
Cite
@article{arxiv.0804.1953,
title = {Nonhomeomorphic conjugates of connected Shimura varieties},
author = {James S. Milne and Junecue Suh},
journal= {arXiv preprint arXiv:0804.1953},
year = {2021}
}