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arXiv:2108.08547 [math.AG]AbstractReferencesReviewsResources

Algebraic cycles and intersections of three quadrics

Robert Laterveer

Published 2021-08-19Version 1

Let $Y$ be a smooth complete intersection of three quadrics, and assume the dimension of $Y$ is even. We show that $Y$ has a multiplicative Chow-K\"unneth decomposition, in the sense of Shen-Vial. As a consequence, the Chow ring of (powers of) $Y$ displays K3-like behaviour. As a by-product of the argument, we also establish a multiplicative Chow-K\"unneth decomposition for double planes.

Comments: 19 pages, to appear in Math. Proceedings of the Cambridge Philosophical Society, comments welcome. arXiv admin note: substantial text overlap with arXiv:2105.02224, arXiv:2105.02016, arXiv:2009.11061
Categories: math.AG
Subjects: 14C15
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