Journal of the Mathematical Society of Japan

A family of cubic fourfolds with finite-dimensional motive

Robert LATERVEER

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.

Article information

Source
J. Math. Soc. Japan, Volume 70, Number 4 (2018), 1453-1473.

Dates
Received: 1 March 2016
Revised: 9 April 2017
First available in Project Euclid: 27 July 2018

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1532678875

Digital Object Identifier
doi:10.2969/jmsj/74497449

Mathematical Reviews number (MathSciNet)
MR3868213

Zentralblatt MATH identifier
07009708

Citation

LATERVEER, Robert. A family of cubic fourfolds with finite-dimensional motive. J. Math. Soc. Japan 70 (2018), no. 4, 1453--1473. doi:10.2969/jmsj/74497449. https://projecteuclid.org/euclid.jmsj/1532678875

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