# Algebraic cycles and intersections of three quadrics

@article{Laterveer2021AlgebraicCA, title={Algebraic cycles and intersections of three quadrics}, author={Robert Laterveer}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, year={2021} }

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–Künneth 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–Künneth decomposition for double planes.

## 2 Citations

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