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On the Chow ring of Fano varieties of type S2

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Abstract

We show that certain Fano eightfolds (obtained as hyperplane sections of an orthogonal Grassmannian, and studied by Ito–Miura–Okawa–Ueda and by Fatighenti–Mongardi) have a multiplicative Chow–Künneth decomposition. As a corollary, the Chow ring of these eightfolds behaves like that of K3 surfaces.

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Acknowledgements

Thanks to the reviewer for helpful comments. Thanks to Kai for beautifully playing his “Duo de Printemps”

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  1. Institut de Recherche Mathématique Avancée, CNRS – 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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Communicated by Daniel Greb.

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Laterveer, R. On the Chow ring of Fano varieties of type S2. Abh. Math. Semin. Univ. Hambg. 90, 17–28 (2020). https://doi.org/10.1007/s12188-020-00218-8

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  • DOI: https://doi.org/10.1007/s12188-020-00218-8

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