On the Beauville conjecture

Ulrike Riess

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arXiv · 1409.3484

On the Beauville conjecture

Ulrike Riess

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Abstract

We investigate Beauville's conjecture on the Chow ring of irreducible symplectic varieties. For special irreducible symplectic varieties we relate it to a conjecture on the existence of rational Lagrangian fibrations, which proves Beauville's conjecture in many new cases. We further apply the same techniques to reduce Beauville's conjecture to Picard rank two.

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Ulrike Riess. 2014-09-11. On the Beauville conjecture. https://arxiv.org/abs/1409.3484

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