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arXiv · 2108.08547

Algebraic cycles and intersections of three quadrics

Robert Laterveer
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Abstract

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.

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Robert Laterveer. 2021-08-19. Algebraic cycles and intersections of three quadrics. https://doi.org/10.1017/s030500412100058x

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