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arXiv · 1708.05278

A family of cubic fourfolds with finite-dimensional motive

Robert Laterveer
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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.

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Robert Laterveer. 2017-08-17. A family of cubic fourfolds with finite-dimensional motive. https://arxiv.org/abs/1708.05278

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