Geodesic
Lagrangian fibrations on hyperk\"ahler fourfolds
Izvestiya. Mathematics , Tome 78 (2014) no. 1, pp. 22-33

Voir la notice de l'article provenant de la source Math-Net.Ru

In answer to the strong form of a question posed by Beauville, we give a short geometric proof that any hyperkähler fourfold containing a Lagrangian subtorus $L$ admits a holomorphic Lagrangian fibration with fibre $L$.
Keywords: hyperkähler manifold, Lagrangian fibration. 
@article{IM2_2014_78_1_a1,
     author = {D. Greb and Ch. Lehn and S. Rollenske},
     title = {Lagrangian fibrations on hyperk\"ahler fourfolds},
     journal = {Izvestiya. Mathematics },
     pages = {22--33},
     publisher = {mathdoc},
     volume = {78},
     number = {1},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2014_78_1_a1/}
}
TY  - JOUR
AU  - D. Greb
AU  - Ch. Lehn
AU  - S. Rollenske
TI  - Lagrangian fibrations on hyperk\"ahler fourfolds
JO  - Izvestiya. Mathematics 
PY  - 2014
SP  - 22
EP  - 33
VL  - 78
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2014_78_1_a1/
LA  - en
ID  - IM2_2014_78_1_a1
ER  - 
%0 Journal Article
%A D. Greb
%A Ch. Lehn
%A S. Rollenske
%T Lagrangian fibrations on hyperk\"ahler fourfolds
%J Izvestiya. Mathematics 
%D 2014
%P 22-33
%V 78
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2014_78_1_a1/
%G en
%F IM2_2014_78_1_a1
D. Greb; Ch. Lehn; S. Rollenske. Lagrangian fibrations on hyperk\"ahler fourfolds. Izvestiya. Mathematics , Tome 78 (2014) no. 1, pp. 22-33. http://geodesic.mathdoc.fr/item/IM2_2014_78_1_a1/