English

A remark on the Chow ring of some hyperk\"ahler fourfolds

Algebraic Geometry 2017-06-20 v1

Abstract

Let XX be a hyperk\"ahler variety. Voisin has conjectured that the classes of Lagrangian constant cycle subvarieties in the Chow ring of XX should lie in a subring injecting into cohomology. We study this conjecture for the Fano variety of lines on a very general cubic fourfold.

Keywords

Cite

@article{arxiv.1706.05821,
  title  = {A remark on the Chow ring of some hyperk\"ahler fourfolds},
  author = {Robert Laterveer},
  journal= {arXiv preprint arXiv:1706.05821},
  year   = {2017}
}

Comments

8 pages, to appear in Bulletin of the Belgian Math. Soc., comments welcome !