Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
On the Chow groups of certain EPW sextics
Robert Laterveer
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2019 年 42 巻 1 号 p. 170-201

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This note is about the Hilbert square X = S[2], where S is a general K3 surface of degree 10, and the anti-symplectic birational involution ι of X constructed by O'Grady. The main result is that the action of ι on certain pieces of the Chow groups of X is as expected by Bloch's conjecture. Since X is birational to a double EPW sextic X′, this has consequences for the Chow ring of the EPW sextic YP5 associated to X′.

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© 2019 Department of Mathematics, Tokyo Institute of Technology
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