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Non-Archimedean pinchings. (English) Zbl 1485.14041

Summary: We develop the theory of pinchings for non-archimedean analytic spaces. In particular, we show that although pinchings of affinoid spaces do not have to be affinoid, pinchings of Hausdorff analytic spaces always exist in the category of analytic spaces.

MSC:

14G22 Rigid analytic geometry
14D15 Formal methods and deformations in algebraic geometry
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