2008/11/20 by Sebastian Neumann, Neumann, Sebastian
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.0811.3398
8 pages
arxiv created 2008/11/20 · arxiv updated 2009/12/01
In this short note we study foliations with rationally connected leaves on surfaces. Our main result is that on surfaces there exists a polarisation such that the Harder-Narasimhan filtration of the tangent bundle with respect to this polarisation yields the maximal rationally quotient of the surface.