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arXiv · 1509.01897

Finiteness of Lagrangian fibrations with fixed invariants

Ljudmila Kamenova
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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 hyperkähler Lagrangian fibrations with an ample line bundle of a given degree on the general fiber of the fibration.

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Ljudmila Kamenova. 2015-10-08. Finiteness of Lagrangian fibrations with fixed invariants. https://arxiv.org/abs/1509.01897

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