Abstract
We use Grothendieck topologies in order to construct global rigid spaces by gluing local affinoid ones. As a special example, the analog of Serre’s GAGA-functor is explained.
Keywords
- Finite Type
- Universal Property
- Canonical Morphism
- Zariski Topology
- Open Immersion
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S. Bosch, U. G”untzer, R. Remmert, Non-Archimedean Analysis. Grundlehren, Bd. 261 (Springer, Heidelberg, 1984)
U. K”opf, ”Uber eigentliche Familien algebraischer Variet”aten ”uber affinoiden R”aumen. Schriftenr. Math. Inst. Univ. M”unster, 2. Serie, Heft 7 (1974)
J.-P. Serre, Géométrie algébrique et géométrie analytique. Ann. Fourier 6, 1–42 (1956)
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Bosch, S. (2014). Towards the Notion of 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_5
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DOI: https://doi.org/10.1007/978-3-319-04417-0_5
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