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Algebraic cycles and Fano threefolds of genus 10

Published 12 May 2023 in math.AG | (2305.07302v1)

Abstract: We show that prime Fano threefolds $Y$ of genus 10 have a multiplicative Chow-K\"unneth 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.

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