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}
}
  • R. Laterveer
  • Published 19 August 2021
  • Mathematics
  • Mathematical Proceedings of the Cambridge Philosophical Society
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. 
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