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arXiv · 0811.3398

Rationally connected foliations on surfaces

Sebastian Neumann
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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.

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Sebastian Neumann. 2008-11-20. Rationally connected foliations on surfaces. https://arxiv.org/abs/0811.3398

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