On the Chow ring of some Lagrangian fibrations

Robert Laterveer

doi:10.36045/j.bbms.200318

Abstract

Let $X$ be a hyperkähler variety admitting a Lagrangian fibration. Beauville's “splitting property” conjecture predicts that fibres of the Lagran-gian 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. "On the Chow ring of some Lagrangian fibrations." Bull. Belg. Math. Soc. Simon Stevin 28 (3) 327 - 339, march 2022. https://doi.org/10.36045/j.bbms.200318

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Published: march 2022

First available in Project Euclid: 24 March 2022

Digital Object Identifier: 10.36045/j.bbms.200318

Subjects:

Primary: 14C15 , 14C25 , 14C30

Keywords: algebraic cycles , Beauville “splitting property” conjecture , Beauville-Voisin conjecture , Chow groups , hyperkähler varieties , Lagrangian fibrations , motives

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