A family of cubic fourfolds with finite-dimensional motive

Published 17 Aug 2017 in math.AG | (1708.05278v1)

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

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