Some cubics with finite-dimensional motive

Abstract

This small note presents in any dimension a family of cubics that have finite-dimensional motive (in the sense of Kimura). As an illustration, we verify a conjecture of Voevodsky for these cubics, and a conjecture of Murre for the Fano variety of lines of these cubics.Comment: 7 pages, to appear in Boletin Soc. Mat. Mexicana, comments welcome. arXiv admin note: substantial text overlap with arXiv:1611.08820, arXiv:1611.0881