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Lagrangian fibrations of hyperkähler fourfolds

Published 27 Feb 2019 in math.AG | (1902.10440v2)

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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