A family of cubic fourfolds with finite-dimensional motive

Abstract

We prove that cubic fourfolds in a certain 10-dimensional family have finite-dimensional motive. The proof is based on the van Geemen-Izadi construction of an algebraic Kuga-Satake correspondence for these cubic fourfolds, combined with Voisin's method of "spread". Some consequences are given.

arXiv comment19 pages, to appear in Journal Math. Soc. Japan, comments vey welcome