English

On the Chow ring of some Lagrangian fibrations

Algebraic Geometry 2021-05-17 v1

Abstract

Let XX 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 XX. We study this conjectural behaviour for two very classical examples of Lagrangian fibrations.

Keywords

Cite

@article{arxiv.2105.06857,
  title  = {On the Chow ring of some Lagrangian fibrations},
  author = {Robert Laterveer},
  journal= {arXiv preprint arXiv:2105.06857},
  year   = {2021}
}

Comments

17 pages, to appear in Bulletin Belgian Math. Soc. Simon Stevin, comments welcome