Aspherical Kähler Manifolds with Solvable Fundamental Group

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dc.creatorBaues, Oliver
dc.creatorCortés, Vicente
dc.date2006-01-25
dc.date.accessioned2026-07-07T06:59:18Z
dc.date.available2026-07-07T06:59:18Z
dc.descriptionWe 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 $\bbC^n$ by a discrete group of complex isometries.
dc.identifierhttps://arxiv.org/abs/math/0601616
dc.identifierhttp://arxiv.org/abs/math/0601616
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107696
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject53C55; 22E25; 22E40
dc.titleAspherical Kähler Manifolds with Solvable Fundamental Group
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