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arXiv:2305.07302 [math.AG]AbstractReferencesReviewsResources

Algebraic cycles and Fano threefolds of genus 10

Robert Laterveer

Published 2023-05-12Version 1

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.

Comments: 24 pages, to appear in Bulletin de la SMF, comments welcome ! arXiv admin note: text overlap with arXiv:2110.11791, arXiv:2301.01961, arXiv:2105.02016
Categories: math.AG
Subjects: 14C15, 14C25
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