Convergence of formal morphisms of completions of complex spaces

• IZUMI Shuzo

  Department of Mathematics and Physics Kinki University

書誌事項

タイトル別名

• Dedicated to the memory of Professor Nobuo Sasakura

抄録

We call a formal morphism between completions of complex spaces convergent if it comes from a holomorphic mapping between the complex spaces. We assume always that the source space is compact. Then a formal morphism is either convergent everywhere or nowhere, under very general conditions.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 51 (3), 731-755, 1999

  一般社団法人 日本数学会

キーワード

• completion
• formal morphisms
• convergence
• Gabrielov's theorem

詳細情報

• CRID: 1390001205116018688
• NII論文ID: 10004480756
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05130731
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1691457
• NDL書誌ID: 4818877
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4818877
• 本文言語コード: en
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