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arXiv · 2105.02016

Algebraic cycles and intersections of 2 quadrics

Robert Laterveer
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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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Robert Laterveer. 2021-05-05. Algebraic cycles and intersections of 2 quadrics. https://doi.org/10.1007/s00009-021-01787-5

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