An example of non-homeomorphic conjugate varieties

2010/09/24 by C. S. Rajan, Rajan, C. S.
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG #math.NT

paper · pdf · doi:10.48550/arxiv.1009.4804

4 pages

arxiv created 2010/09/24 · arxiv updated 2010/09/27

Abstract

We give examples of smooth quasi-projective varieties over complex numbers, in the context of connected Shimura varieties, which are not homeomorphic to a conjugate of itself by an automorphism of the complex numbers.

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