# Pullbacks of hyperplane sections for Lagrangian fibrations are primitive

@article{Kamenova2016PullbacksOH, title={Pullbacks of hyperplane sections for Lagrangian fibrations are primitive}, author={Ljudmila Kamenova and Misha Verbitsky}, journal={Communications in Contemporary Mathematics}, year={2016} }

Let [Formula: see text] be a Lagrangian fibration on a hyperkähler manifold of maximal holonomy (also known as IHS), and [Formula: see text] be the generator of the Picard group of [Formula: see text]. Assume that [Formula: see text] has no multiple fibers in codimension 1. We prove that [Formula: see text] is a primitive class on [Formula: see text].

## 4 Citations

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