Rationally connected foliations on surfaces
Algebraic Geometry
2008-11-21 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0811.3398,
title = {Rationally connected foliations on surfaces},
author = {Sebastian Neumann},
journal= {arXiv preprint arXiv:0811.3398},
year = {2008}
}
Comments
8 pages