Vol. 6, No. 3, 2012

 Recent Issues
 The Journal Cover Editorial Board Editors' Addresses Editors' Interests About the Journal Scientific Advantages Submission Guidelines Submission Form Subscriptions Editorial Login Contacts Author Index To Appear ISSN: 1944-7833 (e-only) ISSN: 1937-0652 (print)
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