A short proof of a conjecture of Matsushita

Benjamin Bakker

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arXiv · 2209.00604

A short proof of a conjecture of Matsushita

Benjamin Bakker

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Abstract

In this note we build on the arguments of van Geemen and Voisin to prove a conjecture of Matsushita that a Lagrangian fibration of an irreducible hyperkähler manifold is either isotrivial or of maximal variation. We also complete a partial result of Voisin regarding the density of torsion points of sections of Lagrangian fibrations.

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Benjamin Bakker. 2022-09-30. A short proof of a conjecture of Matsushita. https://arxiv.org/abs/2209.00604

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