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A family of K3 surfaces having finite-dimensional motive

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This short note contains an example of a 4-dimensional family of K3 surfaces having finite-dimensional motive. Some consequences are presented, for instance the verification of a conjecture of Voisin (concerning 0-cycles on the self-product) for K3 surfaces in this family.

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Correspondence to Robert Laterveer.

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Thanks to Claire Voisin for having written the invaluable and inspirational monograph [37]. Thanks to the participants of the Strasbourg 2014–2015 groupe de travail based on [37]. Many thanks and kusjes to Yasuyo, Kai and Len, who provide excellent working conditions in Schiltigheim.

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Laterveer, R. A family of K3 surfaces having finite-dimensional motive. Arch. Math. 106, 515–524 (2016). https://doi.org/10.1007/s00013-016-0883-5

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