Finiteness of Lagrangian fibrations with fixed invariants
Algebraic Geometry
2016-06-08 v2 Differential Geometry
Abstract
We prove finiteness of hyperkaehler Lagrangian fibrations in any fixed dimension with fixed Fujiki constant and discriminant of the Beauville-Bogomolov-Fujiki lattice, up to deformation. We also prove finiteness of hyperk\"ahler Lagrangian fibrations with an ample line bundle of a given degree on the general fiber of the fibration.
Keywords
Cite
@article{arxiv.1509.01897,
title = {Finiteness of Lagrangian fibrations with fixed invariants},
author = {Ljudmila Kamenova},
journal= {arXiv preprint arXiv:1509.01897},
year = {2016}
}
Comments
9 pages, improved exposition