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arXiv · 1612.07378

Pullbacks of hyperplane sections for Lagrangian fibrations are primitive

Ljudmila Kamenova·Misha Verbitsky
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Abstract

Let p: M -> B be a Lagrangian fibration on a hyperkahler manifold of maximal holonomy (also known as IHS), and H the generator of the Picard group of B. We prove that the pullback $p^*(H)$ is a primitive class on M.

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Ljudmila Kamenova, Misha Verbitsky. 2016-12-21. Pullbacks of hyperplane sections for Lagrangian fibrations are primitive. https://doi.org/10.1142/s0219199718500657

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