Kähler Solvmanifolds

2003/06/25 by Donu Arapura, Arapura, Donu · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.math/0306368

5 pages, latex; important references added

openalex publication_date 2003/06/25 · arxiv created 2003/06/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Compact Kähler solvmanifolds are classified up to biholomorphism. A proof of a conjecture Benson and Gordon, that completely solvable compact Kähler solvmanifolds are tori is deduced from this. The main ingredient in the proof is a restriction theorem for polycyclic Kähler groups proved by Nori and the author.

Citations

• Solvable fundamental groups of algebraic varieties and Kähler manifolds

Cited by

• Aspherical Kähler Manifolds with Solvable Fundamental Group

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