Compact quotients with positive algebraic dimensions of large domains in a complex projective 3-space

• Kato Masahide

  Faculty of Science and Technology, Sophia University

抄録

A domain in a complex 3-dimensional projective space is said to be large, if the domain contains a line, i.e., a projective linear subspace of dimension one. We study compact complex 3-manifolds defined as non-singular quotients of large domains. Any holomorphic automorphism of a large domain becomes an element of the projective linear transformations. In the first half, we study the limit sets of properly discontinuous groups acting on large domains. In the second half, we determine all compact complex 3-manifolds with positive algebraic dimensions which are quotients of large domains.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 62 (4), 1317-1371, 2010

  一般社団法人 日本数学会

キーワード

• compact non-Kähler manifold
• projective structure
• algebraic dimension

詳細情報

• CRID: 1390282680092814720
• NII論文ID: 10027871183
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06241317
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 10859126
• Web Site: http://id.ndl.go.jp/bib/10859126
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10859126
• 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