#### Vol. 6, No. 3, 2012

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The Chow ring of double EPW sextics

### Andrea Ferretti

Vol. 6 (2012), No. 3, 539–560
##### Abstract

A conjecture of Beauville and Voisin states that for an irreducible symplectic variety $X$ the subring of $C{H}^{\ast }\left(X\right)$ generated by divisors goes injectively into the cohomology of $X$, via the cycle map. We prove this for a very general double Eisenbud–Popescu–Walter sextic.

##### Keywords
EPW sextics, Chow ring, hyperkähler, irreducible symplectic varieties
##### Mathematical Subject Classification 2010
Primary: 53C26
Secondary: 14C15, 14J35
##### Milestones
Received: 20 October 2010
Revised: 19 January 2011
Accepted: 22 February 2011
Published: 5 July 2012
##### Authors
 Andrea Ferretti Laboratoire Paul Painlevé Université Lille1 59655 Villeneuve d’Ascq CEDEX France http://www.andreaferretti.it/