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.
Citation
Shuzo IZUMI. "Convergence of formal morphisms of completions of complex spaces." J. Math. Soc. Japan 51 (3) 731 - 755, July, 1999. https://doi.org/10.2969/jmsj/05130731
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