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arXiv · 0804.1953

Nonhomeomorphic conjugates of connected Shimura varieties

James S. Milne·Junecue Suh
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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.

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James S. Milne, Junecue Suh. 2008-04-13. Nonhomeomorphic conjugates of connected Shimura varieties. https://arxiv.org/abs/0804.1953

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