Conjugate complex homogeneous spaces with non-isomorphic fundamental groups
Algebraic Geometry
2015-11-10 v1 Algebraic Topology
Group Theory
Abstract
Let X=G/H be the quotient of a connected reductive algebraic C-group G defined over the field of complex numbers C by a finite subgroup H. We describe the topological fundamental group of the homogeneous space X, which is nonabelian when H is nonabelian. Further, we construct an example of a homogeneous space X and an automorphism s of C such that the topological fundamental groups of X and of the conjugate variety sX are not isomorphic.
Cite
@article{arxiv.1505.02323,
title = {Conjugate complex homogeneous spaces with non-isomorphic fundamental groups},
author = {Mikhail Borovoi and Yves Cornulier},
journal= {arXiv preprint arXiv:1505.02323},
year = {2015}
}
Comments
6 pages