Kummer's quartics and numerically reflective involutions of Enriques surfaces

• Mukai Shigeru

  Research Institute for Mathematical Sciences, Kyoto University

抄録

A (holomorphic) involution σ of an Enriques surface S is said to be numerically reflective if it acts on the cohomology group H²(S, Q) as a reflection. We show that the invariant sublattice H(S, σ; Z) of the anti-Enriques lattice H^-(S, Z) under the action of σ is isomorphic to either ⟨-4⟩ ⊥ U(2) ⊥ U(2) or ⟨-4⟩ ⊥ U(2) ⊥ U. Moreover, when H(S, σ; Z) is isomorphic to ⟨-4⟩ ⊥ U(2) ⊥ U(2), we describe (S, σ) geometrically in terms of a curve of genus two and a Göpel subgroup of its Jacobian.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 64 (1), 231-246, 2012

  一般社団法人 日本数学会

キーワード

• Enriques surface
• Kummer surface
• period

詳細情報

• CRID: 1390001205116210816
• NII論文ID: 10030740093
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06410231
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 023404115
• Web Site: http://id.ndl.go.jp/bib/023404115
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I023404115
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可