Spectral theory and analytic geometry over non-archimedean fields (Record no. 2359)
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000 -LEADER | |
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fixed length control field | 02056nam a22002057a 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20241101105147.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 190222b ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780821890202 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | Education Supplies |
Original cataloging agency | ICTS-TIFR |
050 ## - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA320 |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Vladimir G. Berkovich |
245 ## - TITLE STATEMENT | |
Title | Spectral theory and analytic geometry over non-archimedean fields |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | Rhode Island; |
Name of publisher, distributor, etc. | American Mathematical Society, |
Date of publication, distribution, etc. | [c1990] |
300 ## - Physical Description | |
Pages: | 169 p. |
490 ## - SERIES STATEMENT | |
Series statement | Mathematical Surveys and Monographs |
Volume/sequential designation | Vol. 33 |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | 1. The spectrum of a commutative Banach ring<br/>2. Affinoid spaces<br/>3. Analytic spaces<br/>4. Analytic curves<br/>5. Analytic groups and buildings<br/>6. The homotopy type of certain analytic spaces<br/>7. Spectral theory<br/>8. Perturbation theory<br/>9. The dimension of a Banach algebra<br/> |
520 ## - SUMMARY, ETC. | |
Summary, etc. | 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 p-adic analysis.---Summary provided by publisher |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | |
Koha item type | Book |
Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Shelving location | Date acquired | Full call number | Accession No. | Koha item type |
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ICTS | Rack No 5 | 02/22/2019 | QA320 | 01697 | Book |