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Algebraic cycles and intersections of 2 quadrics

Abstract : A smooth intersection $Y$ of two quadrics in $\mathbb{P}^{2g+1}$ has Hodge level 1. We show that such varieties $Y$ 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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Contributor : robert laterveer Connect in order to contact the contributor
Submitted on : Tuesday, May 11, 2021 - 8:50:39 AM
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Robert Laterveer. Algebraic cycles and intersections of 2 quadrics. Mediterranean Journal of Mathematics, Springer Verlag, In press, ⟨10.1007/s00009-021-01787-5⟩. ⟨hal-03223474⟩



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