Aspherical Kähler manifolds with solvable fundamental group

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Autor/in:
Erscheinungsjahr:
2006
Medientyp:
Text
Schlagworte:
  • Albanese torus
  • Aspherical manifolds
  • Benson-Gordon conjecture
  • Kähler groups
  • Kähler manifolds
  • Solvable groups
Beschreibung:
  • We survey recent developments which led to the proof of the Benson-Gordon conjecture on Kähler quotients of solvable Lie groups. In addition, we prove that the Albanese morphism of a Kähler manifold which is a homotopy torus is a biholomorphic map. The latter result then implies the classification of compact aspherical Kähler manifolds with (virtually) solvable fundamental group up to biholomorphic equivalence. They are all biholomorphic to complex manifolds which are obtained as a quotient of ℂn by a discrete group of complex isometries. © 2006 Springer Science + Business Media B.V.
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  • info:eu-repo/semantics/closedAccess
Quellsystem:
Forschungsinformationssystem der UHH
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oai:www.edit.fis.uni-hamburg.de:publications/937fcc2e-3f33-420b-9e86-426676d1168f