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Affinoid Functions

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

Abstract

In this chapter we establish two important theorems: the Theorem of Gerritzen–Grauert on the structure of affinoid subdomains and the Acyclicity Theorem of Tate. Both results are fundamental for setting up rigid geometry.

Keywords

  • Rational Covering
  • Residue Class
  • Common Zero
  • Finite Covering
  • Unit Ideal

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. N. Bourbaki, Algèbre Commutative, Chap. I–IV (Masson, Paris, 1985)

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© 2014 Springer International Publishing Switzerland

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Bosch, S. (2014). Affinoid Functions. 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_4

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