Conjugate complex homogeneous spaces with non-isomorphic fundamental groups

Translated title of the contribution: Espaces homogènes complexes conjugués avec groupes fondamentaux non isomorphes

Mikhail Borovoi, Yves Cornulier

Research output: Contribution to journalArticlepeer-review

Abstract

Let X= G/ Γ be the quotient of a connected reductive algebraic C-group G by a finite subgroup Γ. We describe the topological fundamental group of the homogeneous space X, which is nonabelian when Γ is nonabelian. Further, we construct an example of a homogeneous space X and an automorphism σ of C such that the topological fundamental groups of X and of the conjugate variety σX are not isomorphic.

Translated title of the contributionEspaces homogènes complexes conjugués avec groupes fondamentaux non isomorphes
Original languageFrench
Pages (from-to)1001-1005
Number of pages5
JournalComptes Rendus Mathematique
Volume353
Issue number11
DOIs
StatePublished - Nov 2015

Keywords

  • Conjugate variety
  • Fundamental group
  • Homogeneous space
  • Linear algebraic group

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