Geodesic
Rationally connected foliations on surfaces
Documenta mathematica, Tome 14 (2009), pp. 157-165.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 14J26, 37F75 
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     author = {Neumann, Sebastian},
     title = {Rationally connected foliations on surfaces},
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     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2009__14__a22/}
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Neumann, Sebastian. Rationally connected foliations on surfaces. Documenta mathematica, Tome 14 (2009), pp. 157-165. http://geodesic.mathdoc.fr/item/DOCMA_2009__14__a22/