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A rigid analytic version of M. Artin’s theorem on analytic equations. (English) Zbl 0462.14002


MSC:

14B12 Local deformation theory, Artin approximation, etc.
14G20 Local ground fields in algebraic geometry
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References:

[1] Artin, M.: On the solutions of analytic equations. Invent. Math.5, 277-291 (1968) · Zbl 0172.05301 · doi:10.1007/BF01389777
[2] Bosch, S.:k-affinoide Gruppen. Invent. Math.10, 128-176 (1970) · Zbl 0195.50901 · doi:10.1007/BF01403152
[3] Bosch, S.: Multiplikative Untergruppen in abeloiden Mannigfaltigkeiten. Math. Ann.239, 165-183 (1979) · Zbl 0402.14015 · doi:10.1007/BF01420374
[4] Bosch, S., Dwork, B., Robba, P.: Un théorème de prolongement pour des fonctions analytiques. Math. Ann.252, 165-173 (1980) · Zbl 0446.32005 · doi:10.1007/BF01420121
[5] Fieseler, K.-H.: Zariski’s Main Theorem in der nichtarchimedischen Funktionentheorie. Schr. Math. Inst. Univ. Münster, 2. Serie, Heft 18 (1979) · Zbl 0414.32009
[6] Lang, S.: On quasi algebraic closure. Ann. Math.55, 373-390 (1952) · Zbl 0046.26202 · doi:10.2307/1969785
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