A short proof of a conjecture of Matsushita
We build on the arguments of van Geemen and Voisin [24] 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 [26] regarding the density of torsion points of sections of Lagrangian fibrations.
Authors
- Benjamin Bakker (ORCID: https://orcid.org/0000-0001-6519-4916)
Institutions
- University of Illinois Chicago (US)
Publication Details
- Journal
- Advances in Mathematics
- Published
- 2025-10-03
- DOI
- https://doi.org/10.1016/j.aim.2025.110554
- Citations
- 1
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 4.09