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Blowing up in rigid analytic geometry. (English) Zbl 0854.32020

The purpose of this paper is to give a complete treatment of the notion of blowing up in rigid geometry (i.e. analytic geometry over nonarchimedean complete fields). This notion and its main properties have never been written in the rigid case, although they are known to specialists such as the author, who has used it in many papers.

MSC:

32P05 Non-Archimedean analysis
32S45 Modifications; resolution of singularities (complex-analytic aspects)
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