Abstract
Affinoid algebras are residue algebras of Tate algebras. From the dual point of view they give rise to affinoid spaces. We study these objects in detail, including the crucial construction of affinoid subdomains of affinoid spaces.
Keywords
- Prime Ideal
- Maximal Ideal
- Supremum Norm
- Open Unit Disk
- Zariski Topology
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S. Bosch, Algebraic Geometry and Commutative Algebra. Universitext (Springer, London, 2013)
N. Bourbaki, Espaces Vectoriels Topologiques, Chap. I (Hermann, Paris, 1953)
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© 2014 Springer International Publishing Switzerland
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Bosch, S. (2014). Affinoid Algebras and Their Associated 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_3
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DOI: https://doi.org/10.1007/978-3-319-04417-0_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-04416-3
Online ISBN: 978-3-319-04417-0
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