## Bulletin of the Belgian Mathematical Society - Simon Stevin

### A remark on the Chow ring of some hyperkähler fourfolds

Robert Laterveer

#### 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.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 24, Number 3 (2017), 447-455.

Dates
First available in Project Euclid: 27 September 2017

https://projecteuclid.org/euclid.bbms/1506477693

Digital Object Identifier
doi:10.36045/bbms/1506477693

Mathematical Reviews number (MathSciNet)
MR3706813

Zentralblatt MATH identifier
06803442

#### Citation

Laterveer, Robert. A remark on the Chow ring of some hyperkähler fourfolds. Bull. Belg. Math. Soc. Simon Stevin 24 (2017), no. 3, 447--455. doi:10.36045/bbms/1506477693. https://projecteuclid.org/euclid.bbms/1506477693