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Some elementary examples of quartics with finite-dimensional motive

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Abstract

This small note contains some easy examples of quartic hypersurfaces that have finite-dimensional motive. As an illustration, we verify a conjecture of Voevodsky (concerning smash-equivalence) for some of these special quartics.

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Acknowledgments

This note is a belated echo of the Strasbourg 2014–2015 groupe de travail based on the monograph [23]. Thanks to all the participants for the pleasant and stimulating atmosphere. Many thanks to Yasuyo, Kai and Len for lots of enjoyable post-work apéritifs.

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  1. CNRS-IRMA, Université de Strasbourg, 7 rue René Descartes, 67084, Strasbourg Cedex, France

    Robert Laterveer

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  1. Robert Laterveer
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Correspondence to Robert Laterveer.

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Laterveer, R. Some elementary examples of quartics with finite-dimensional motive. Ann Univ Ferrara 63, 315–321 (2017). https://doi.org/10.1007/s11565-016-0263-x

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  • DOI: https://doi.org/10.1007/s11565-016-0263-x

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