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

Voir la notice de l'article provenant de la source EMS Press

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 
Sebastian Neumann. Rationally connected foliations on surfaces. Documenta mathematica, Tome 14 (2009), pp. 157-165. doi: 10.4171/dm/268
@article{10_4171_dm_268,
     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/}
}
TY  - JOUR
AU  - Sebastian Neumann
TI  - Rationally connected foliations on surfaces
JO  - Documenta mathematica
PY  - 2009
SP  - 157
EP  - 165
VL  - 14
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/268/
DO  - 10.4171/dm/268
ID  - 10_4171_dm_268
ER  - 
%0 Journal Article
%A Sebastian Neumann
%T Rationally connected foliations on surfaces
%J Documenta mathematica
%D 2009
%P 157-165
%V 14
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/268/
%R 10.4171/dm/268
%F 10_4171_dm_268

Cité par Sources :