JournalspmVol. 78, No. 3/4pp. 255–280

Algebraic cycles and Fano threefolds of genus 8

  • Robert Laterveer

    Université de Strasbourg, France
Algebraic cycles and Fano threefolds of genus 8 cover

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Abstract

We show that prime Fano threefolds YY 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 YY injects into cohomology.

Cite this article

Robert Laterveer, Algebraic cycles and Fano threefolds of genus 8. Port. Math. 78 (2021), no. 3, pp. 255–280

DOI 10.4171/PM/2069