Spectral Theory and Analytic Geometry over Non Archimedean Fields is popular PDF and ePub book, written by Vladimir G. Berkovich in 2012-08-02, it is a fantastic choice for those who relish reading online the Algebraic number theory genre. Let's immerse ourselves in this engaging Algebraic number theory book by exploring the summary and details provided below. Remember, Spectral Theory and Analytic Geometry over Non Archimedean Fields can be Read Online from any device for your convenience.
Spectral Theory and Analytic Geometry over Non Archimedean Fields Book PDF Summary
The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground field, these analytic spaces have the usual topological properties of a complex analytic space, such as local compactness and local arcwise connectedness. This makes it possible to apply the usual notions of homotopy and singular homology. The book includes a homotopic characterization of the analytic spaces associated with certain classes of algebraic varieties and an interpretation of Bruhat-Tits buildings in terms of these analytic spaces. The author also studies the connection with the earlier notion of a rigid analytic space. Geometrical considerations are used to obtain some applications, and the analytic spaces are used to construct the foundations of a non-Archimedean spectral theory of bounded linear operators. This book requires a background at the level of basic graduate courses in algebra and topology, as well as some familiarity with algebraic geometry. It would be of interest to research mathematicians and graduate students working in algebraic geometry, number theory, and -adic analysis.
Detail Book of Spectral Theory and Analytic Geometry over Non Archimedean Fields PDF
- Author : Vladimir G. Berkovich
- Release : 02 August 2012
- Publisher : American Mathematical Soc.
- ISBN : 9780821890202
- Genre : Algebraic number theory
- Total Page : 169 pages
- Language : English
- PDF File Size : 16,9 Mb
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