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.

引用

页码：731 / 755

页数：25

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