The Chow ring of double EPW sextics

Ferretti, Andrea

doi:10.2140/ant.2012.6.539

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The Chow ring of double EPW sextics

Andrea Ferretti

Vol. 6 (2012), No. 3, 539–560

DOI: 10.2140/ant.2012.6.539

Abstract

A conjecture of Beauville and Voisin states that for an irreducible symplectic variety $X$ the subring of $C H^{*} (X)$ 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/

Vol. 6, No. 3, 2012