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arxiv: 1302.6531 · v2 · pith:CEMKGHGPnew · submitted 2013-02-26 · 🧮 math.AG

On the action of symplectic automorphisms on the CH₀-groups of some hyper-K\"ahler fourfolds

classification 🧮 math.AG
keywords actionsymplecticahlerautomorphismautomorphismsbloch-beilinsonchowconjecture
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We prove that for any polarized symplectic automorphism of the Fano variety of lines of a cubic fourfold (equipped with the Pl\"ucker polarization), the induced action on the Chow group of 0-cycles is identity, as predicted by Bloch-Beilinson conjecture.

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