Mathematical surveys and monographs· 2012
Spectral Theory and Analytic Geometry over Non-Archimedean Fields
- 742citations
- 2012year
Short summary
This work establishes spectral theory and analytic geometry over non-Archimedean fields, introducing concepts like affinoid spaces, analytic spaces, curves, groups, and buildings.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces affinoid spaces and analytic spaces over non-Archimedean fields.
- Develops analytic curves, groups, and buildings in this context.
- Explores spectral theory, perturbation theory, and Banach algebra dimension.
- Investigates the homotopy type of specific analytic spaces.
AI-generated from the title and abstract; the full text is not read.
Abstract
The spectrum of a commutative Banach ring Affinoid spaces Analytic spaces Analytic curves Analytic groups and buildings The homotopy type of certain analytic spaces Spectral theory Perturbation theory The dimension of a Banach algebra.
The authors' abstract, as published at the source. Mathematical surveys and monographs, 2012 · DOI ↗
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Field: Mathematical Physics
Mathematical PhysicsMathematics