@article{13dc4d5876524a959da4129805f9cdbd,
title = "LAGRANGIAN FIBRATIONS OF HYPERK{\"A}HLER FOURFOLDS",
abstract = "The base surface of a Lagrangian fibration X → B of a projective, irreducible symplectic fourfold is shown to be isomorphic to ℙ2.",
keywords = "Lagrangian fibrations, hyperk{\"a}hler manifolds, irreducible symplectic varieties",
author = "Daniel Huybrechts and Chenyang Xu",
note = "Funding Information: DH is supported by the SFB/TR 45 'Periods, Moduli Spaces and Arithmetic of Algebraic Varieties' of the DFG (German Research Foundation). CX is partially supported by a Chern Professorship of the MSRI (NSF No. DMS-1440140) and by the National Science Fund for Distinguished Young Scholars (NSFC 11425101) 'Algebraic Geometry'. Publisher Copyright: {\textcopyright} ",
year = "2022",
month = may,
day = "20",
doi = "10.1017/S1474748020000365",
language = "English (US)",
volume = "21",
pages = "921--932",
journal = "Journal of the Institute of Mathematics of Jussieu",
issn = "1474-7480",
publisher = "Cambridge University Press",
number = "3",
}