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A remark on Beauville’s splitting property

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Abstract

Let X be a hyperkähler 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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  1. Institut de Recherche Mathématique Avancée, CNRS, Université de Strasbourg, 7 Rue René Descartes, 67084, Strasbourg Cedex, France

    Robert Laterveer

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  1. Robert Laterveer
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Correspondence to Robert Laterveer.

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Laterveer, R. A remark on Beauville’s splitting property. manuscripta math. 156, 117–125 (2018). https://doi.org/10.1007/s00229-017-0951-6

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  • DOI: https://doi.org/10.1007/s00229-017-0951-6

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