On the Chow groups of certain EPW sextics

• Laterveer Robert

  Institut de Recherche Mathématique Avancée CNRS - Université de Strasbourg

抄録

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 Y ⊂ P⁵ associated to X′.

収録刊行物

• ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ

  ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ 42 (1), 170-201, 2019-03-18

  国立大学法人 東京工業大学理学院数学系

キーワード

• Algebraic cycles
• Chow groups
• motives
• hyperkähler varieties
• anti-symplectic involution
• K3 surfaces
• (double) EPW sextics
• Beauville's splitting principle
• multiplicative Chow-Künneth decomposition
• spread of algebraic cycles

詳細情報

• CRID: 1390001288140210432
• NII論文ID: 130007620571
• DOI: 10.2996/kmj/1552982512
• ISSN: 18815472
• ISSN: 03865991
• 本文言語コード: en
• データソース種別:
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  • CiNii Articles
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