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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S. Bosch, U. G”untzer, R. Remmert, Non-Archimedean Analysis. Grundlehren, Bd. 261 (Springer, Heidelberg, 1984)
N. Bourbaki, Algèbre Commutative, Chap. I–IV (Masson, Paris, 1985)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-04417-0_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-04416-3
Online ISBN: 978-3-319-04417-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)