Abstract
This chapter contains Raynaud’s characterization of rigid spaces in terms of formal scheme models. As an important technical tool admissible formal blowing-up is needed, which is explained in detail.
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Notes
- 1.
Beyond the classical rigid case, the notion of rig-points is useful when R is a general adic ring of type (V) or (N). Such rig-points will not necessarily be closed, as is the case in classical rigid geometry; cf. Lemma 3 below.
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Bosch, S. (2014). Raynaud’s View on Rigid Spaces. In: Lectures on Formal and Rigid Geometry. Lecture Notes in Mathematics, vol 2105. Springer, Cham. https://doi.org/10.1007/978-3-319-04417-0_8
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DOI: https://doi.org/10.1007/978-3-319-04417-0_8
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