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Towards the Notion of Rigid Spaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2105)

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

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. S. Bosch, U. G”untzer, R. Remmert, Non-Archimedean Analysis. Grundlehren, Bd. 261 (Springer, Heidelberg, 1984)

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  2. U. K”opf, ”Uber eigentliche Familien algebraischer Variet”aten ”uber affinoiden R”aumen. Schriftenr. Math. Inst. Univ. M”unster, 2. Serie, Heft 7 (1974)

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  3. J.-P. Serre, Géométrie algébrique et géométrie analytique. Ann. Fourier 6, 1–42 (1956)

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© 2014 Springer International Publishing Switzerland

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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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