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LAGRANGIAN FIBRATIONS OF HYPERKÄHLER FOURFOLDS
Published online by Cambridge University Press: 20 July 2020
Abstract
The base surface $B$ of a Lagrangian fibration
of a projective, irreducible symplectic fourfold
$X$ is shown to be isomorphic to
$\mathbb{P}^{2}$.
- Type
- Research Article
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- Copyright
- © The Author(s) 2020. Published by Cambridge University Press
Footnotes
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’.
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