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arXiv · 2105.06857

On the Chow ring of some Lagrangian fibrations

Robert Laterveer
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Abstract

Let $X$ be a hyperk\"ahler variety admitting a Lagrangian fibration. Beauville's "splitting property" conjecture predicts that fibres of the Lagrangian fibration should have a particular behaviour in the Chow ring of $X$. We study this conjectural behaviour for two very classical examples of Lagrangian fibrations.

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Robert Laterveer. 2021-05-14. On the Chow ring of some Lagrangian fibrations. https://arxiv.org/abs/2105.06857

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