Abstract
We introduce relative rigid spaces and, as an example, construct Raynaud’s universal Tate curve. Then, after a brief look at the Zariski–Riemann space, some advanced results on formal models of rigid spaces are reviewed.
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Notes
- 1.
Zariski–Riemann spaces were first introduced by Zariski calling them Riemann manifolds. Later, Nagata preferred the term Zariski–Riemann space when he used these spaces for the compactification of algebraic varieties.
- 2.
A topological space is called sober if every irreducible closed subset admits a unique generic point.
- 3.
- 4.
For details see [F IV]. The theorem has been proved in the classical rigid case and in the Noetherian case (N′).
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Bosch, S. (2014). More Advanced Stuff. 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_9
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