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arXiv · 1706.05820

A remark on Beauville's splitting property

Robert Laterveer
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Abstract

Let $X$ be a hyperk\"ahler variety. Beauville has conjectured that a certain subring of the Chow ring of $X$ should inject into cohomology. This note proposes a similar conjecture for the ring of algebraic cycles on $X$ modulo algebraic equivalence: a certain subring (containing divisors and codimension $2$ cycles) should inject into cohomology. We present some evidence for this conjecture.

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Robert Laterveer. 2017-06-19. A remark on Beauville's splitting property. https://arxiv.org/abs/1706.05820

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