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arxiv: 1706.05821 · v1 · pith:GI2OZC3Knew · submitted 2017-06-19 · 🧮 math.AG

A remark on the Chow ring of some hyperk\"ahler fourfolds

classification 🧮 math.AG
keywords ahlerchowhyperkringvarietyclassescohomologyconjecture
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Let $X$ be a hyperk\"ahler variety. Voisin has conjectured that the classes of Lagrangian constant cycle subvarieties in the Chow ring of $X$ should lie in a subring injecting into cohomology. We study this conjecture for the Fano variety of lines on a very general cubic fourfold.

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