• Corpus ID: 239615997

# Algebraic cycles and Fano threefolds of genus 8

```@inproceedings{Laterveer2021AlgebraicCA,
title={Algebraic cycles and Fano threefolds of genus 8},
author={Robert Laterveer},
year={2021}
}```
We show that prime Fano threefolds Y of genus 8 have a multiplicative Chow– Künneth decomposition, in the sense of Shen–Vial. As a consequence, a certain tautological subring of the Chow ring of powers of Y injects into cohomology.
5 Citations
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Some Motivic Properties of Gushel-Mukai Sixfolds
• Mathematics
• 2022
Gushel-Mukai sixfolds are an important class of so-called FanoK3 varieties. In this paper we show that they admit a multiplicative ChowKünneth decomposition modulo algebraic equivalence and that they
Algebraic cycles and intersections of three quadrics
• R. Laterveer
• Mathematics
Mathematical Proceedings of the Cambridge Philosophical Society
• 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
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Abstract Let Y be a smooth complete intersection of a quadric and a cubic in ℙn{\mathbb{P}^{n}}, with n even. We show that Y has a multiplicative Chow–Künneth decomposition, in the sense of
Algebraic Cycles and Intersections of 2 Quadrics
A smooth intersection Y of two quadrics in P has Hodge level 1. We show that such varieties Y have a multiplicative Chow–Künneth decomposition, in the sense of Shen–Vial. As a consequence, a certain

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• Mathematics
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