Mathematics – Algebraic Geometry
Scientific paper
2008-11-20
Mathematics
Algebraic Geometry
8 pages
Scientific paper
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.
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