Convergence of formal morphisms of completions of complex spaces

• IZUMI Shuzo

  Department of Mathematics and Physics Kinki University

Bibliographic Information

Other Title

• Dedicated to the memory of Professor Nobuo Sasakura

Abstract

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.

Journal

• Journal of the Mathematical Society of Japan

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

  The Mathematical Society of Japan

Keywords

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

Details

• CRID: 1390001205116018688
• NII Article ID: 10004480756
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05130731
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1691457
• NDL BIB ID: 4818877
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4818877
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed