A remark on the Chow ring of some hyperkähler fourfolds

Abstract

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

arXiv comment8 pages, to appear in Bulletin of the Belgian Math. Soc., comments welcome !