A short proof of a conjecture of Matsushita
Algebraic Geometry
2022-10-03 v2
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 hyperk\"ahler 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.
Keywords
Cite
@article{arxiv.2209.00604,
title = {A short proof of a conjecture of Matsushita},
author = {Benjamin Bakker},
journal= {arXiv preprint arXiv:2209.00604},
year = {2022}
}
Comments
7 pages. Comments welcome! v2: minor changes