Introduction to Berkovich analytic spaces
Michael Temkin
TL;DR
This paper provides an introductory overview of Berkovich analytic spaces, based on lecture notes from a 2010 summer school, aiming to familiarize readers with this area of non-Archimedean geometry.
Contribution
It offers an accessible introduction and extended lecture notes on Berkovich analytic spaces, filling a gap in educational resources for this topic.
Findings
Clarifies foundational concepts of Berkovich spaces
Provides detailed explanations suitable for newcomers
Serves as a comprehensive educational resource
Abstract
This paper presents an extended version of lecture notes for an introductory course on Berkovich analytic spaces that I gave in 2010 at Summer School "Berkovich spaces" at Institut de Mathmatiques de Jussieu.
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Taxonomy
TopicsAdvanced Banach Space Theory · Holomorphic and Operator Theory · Advanced Topology and Set Theory