Geodesic
Rationally connected foliations on surfaces
Documenta mathematica, Tome 14 (2009), pp. 157-165
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In this short note we study foliations on surfaces with rationally connected leaves. Our main result is that on a surface there exists a polarisation such that the Harder-Narasimhan filtration of the tangent bundle with respect to this polarisation yields the maximal rationally connected quotient of the surface.
DOI : 10.4171/dm/268
Classification : 14J26, 37F75 
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     author = {Sebastian Neumann},
     title = {Rationally connected foliations on surfaces},
     journal = {Documenta mathematica},
     pages = {157--165},
     year = {2009},
     volume = {14},
     doi = {10.4171/dm/268},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/268/}
}
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Sebastian Neumann. Rationally connected foliations on surfaces. Documenta mathematica, Tome 14 (2009), pp. 157-165. doi: 10.4171/dm/268

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