Spectral theory and analytic geometry over non-archimedean fields (Record no. 2359)

000 -LEADER
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
Holdings
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
          ICTS Rack No 5 02/22/2019 QA320 01697 Book