Abel's theorem for divisors on an arbitrary compact complex manifold

• NAGASHIMA Yasuo

抄録

We prove Abel's theorem for divisors on an arbitrary compact complex manifold by combining the ech cohomology of sheaves, a {logarithmic residue formula} for 1-forms and de Rham's theory applied to open submanifolds.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 51 (4), 1015-1028, 1999

  一般社団法人 日本数学会

キーワード

• Meromorphic function
• logarithmic residue formula
• de Rham's theory

詳細情報

• CRID: 1390001205116020608
• NII論文ID: 10004481011
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05141015
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1705258
• NDL書誌ID: 4895039
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4895039
• 本文言語コード: en
• データソース種別:
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  • NDL
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  • CiNii Articles
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