Algebraic cycles on Fano varieties of some cubics

2017/06/19 by Laterveer, Robert
#14C15 #14C25 #14C30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.05823

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.

Related

• Algebraic cycles on the Fano variety of lines of a cubic fourfold
• The motive of the Fano surface of lines
• On the Chow groups of certain cubic fourfolds
• Algebraic cycles of some Fano varieties with Hodge structure of level one
• Lines on cubic threefolds and fourfolds containing a plane