We show that prime Fano threefolds 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 injects into cohomology.
Cite this article
Robert Laterveer, Algebraic cycles and Fano threefolds of genus 8. Port. Math. 78 (2021), no. 3/4, pp. 255–280DOI 10.4171/PM/2069