Open Access
October, 2018 A family of cubic fourfolds with finite-dimensional motive
Robert LATERVEER
J. Math. Soc. Japan 70(4): 1453-1473 (October, 2018). DOI: 10.2969/jmsj/74497449

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.

Citation

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Robert LATERVEER. "A family of cubic fourfolds with finite-dimensional motive." J. Math. Soc. Japan 70 (4) 1453 - 1473, October, 2018. https://doi.org/10.2969/jmsj/74497449

Information

Received: 1 March 2016; Revised: 9 April 2017; Published: October, 2018
First available in Project Euclid: 27 July 2018

zbMATH: 07009708
MathSciNet: MR3868213
Digital Object Identifier: 10.2969/jmsj/74497449

Subjects:
Primary: 14C15 , 14C25 , 14C30
Secondary: 14K99

Keywords: abelian varieties , algebraic cycles , Chow groups , cubic fourfolds , finite-dimensional motives , Kuga–Satake correspondence , motives

Rights: Copyright © 2018 Mathematical Society of Japan

Vol.70 • No. 4 • October, 2018
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