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arXiv · 1902.10440

Lagrangian fibrations of hyperk\"ahler fourfolds

Daniel Huybrechts·Chenyang Xu
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Abstract

The base surface $B$ of a Lagrangian fibration $X\twoheadrightarrow B$ of a projective, irreducible symplectic fourfold $X$ is shown to be isomorphic to ${\mathbb P}^2$.

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Daniel Huybrechts, Chenyang Xu. 2019-02-27. Lagrangian fibrations of hyperk\"ahler fourfolds. https://doi.org/10.1017/s1474748020000365

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