Convergence of formal morphisms of completions of complex spaces

被引：2
|
作者：
Izumi, S [1 ]
机构：
[1] Kinki Univ, Dept Math & Phys, Higashiosaka, Osaka 5778502, Japan
来源：
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 1999年 / 51卷 / 03期
关键词：
completion; formal morphisms; convergence; Gabrielov's theorem;
D O I：
10.2969/jmsj/05130731
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：731 / 755
页数：25
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