On the Chow ring of some Lagrangian fibrations

Published 14 May 2021 in math.AG | (2105.06857v1)

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

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