Symplectic Involutions of K 3 Surfaces Act Trivially on CH 0 Claire Voisin
نویسندگان
چکیده
A symplectic involution on a K3 surface is an involution which preserves the holomorphic 2-form. We prove that such a symplectic involution acts as the identity on the CH0 group of the K3 surface, as predicted by Bloch’s conjecture. 2010 Mathematics Subject Classification: 14C25, 14J28
منابع مشابه
Symplectic involutions of K 3 surfaces act trivially on CH 0
For a smooth complex projective variety X, Mumford has shown in [9] that the triviality of the Chow group CH0(X), i.e. CH0(X)hom = 0, implies the vanishing of holomorphic forms of positive degree onX. An immediate generalization is the fact that a 0-correspondence Γ ∈ CH(Y ×X), with d = dimX, which induces the 0-map Γ∗ : CH0(Y )hom → CH0(X)hom has the property that the maps Γ∗ : H(X) → H(Y ) va...
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Article history: Received 16 June 2015 Accepted after revision 11 September 2015 Available online 20 October 2015 Presented by Claire Voisin
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