Surface Foliations with Compact complex leaves are holomorphic

2004/09/03 by Joerg Winkelmann, Winkelmann, Joerg
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG #math.CV #msc:32J15 #msc:37F75

paper · pdf · doi:10.48550/arxiv.math/0409049

LaTeX, 4 pages

arxiv created 2004/09/03 · arxiv updated 2009/12/01

Abstract

Let X be a compact complex surface with a real foliation. If all leaves are compact complex curves, the foliation must be holomorphic.

Related

• About C^∞ foliations by holomorphic curves on complex surfaces
• Foliations on complex projective surfaces
• Topology and complex structures of leaves of foliations by Riemann surfaces
• Leafwise Holomorphic Functions
• Positive Rational Nodal Leaves on Surfaces