The Chow Ring of Double Epw Sextics
نویسنده
چکیده
A conjecture of Beauville and Voisin states that for an irreducible symplectic variety X, any polynomial relation between classes of divisors and the Chern classes of X which holds in cohomology already holds in the Chow groups. We verify the conjecture for a very general double EPW sextic.
منابع مشابه
Algebraic cycles on a very special EPW sextic
Motivated by the Beauville–Voisin conjecture about Chow rings of powers of K3 surfaces, we consider a similar conjecture for Chow rings of powers of EPW sextics. We prove part of this conjecture for the very special EPW sextic studied by Donten–Bury et alii. We also prove some other results concerning the Chow groups of this very special EPW sextic, and of certain related hyperkähler fourfolds....
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تاریخ انتشار 2009