£110.00

Spectral Theory and Analytic Geometry over Non-Archimedean Fields (Mathematical Surveys and Monographs)

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£115.00 £84.66 £91.28 £97.90 £104.52 £111.14 £117.76 09 June 2024 01 November 2024 27 March 2025 20 August 2025 13 January 2026

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24 days 51 days 95 days 7 days 66 days 99 days 2 days 157 days · current 9 days 74 days 0 39 79 118 157 £87 £89 £91 £96 £106 £107 £108 £110 £113 £115 Days at Price

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Description

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 pp-adic analysis.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 August 2012
Listed Since
06 December 2013

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