Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Convergence of formal morphisms of completions of complex spaces
Dedicated to the memory of Professor Nobuo Sasakura
Shuzo IZUMI
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1999 年 51 巻 3 号 p. 731-755

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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.

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