Algebraic cycles on Fano varieties of some cubics

Abstract

This note is about cycle-theoretic properties of the Fano variety of lines on a smooth cubic fivefold. The arguments are based on the fact that this Fano variety has finite-dimensional motive. We also present some results concerning Chow groups of Fano varieties of lines on certain cubics in other dimensions.

arXiv comment16 pages, to appear in Results in Math., comments welcome