Berkovich Spaces and Applications (Paperback)

Language: English

Published by Springer International Publishing AG, Cham, 2014

3319110284 / 9783319110288

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Paperback. We present an introduction to Berkovichs theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Temkin, and to etale cohomology by A. Ducros, as well as a short note by C. Favre on the topology of some Berkovich spaces. The second part focuses on applications to geometry. A second text by A. Ducros contains a new proof of the fact that the higher direct images of a coherent sheaf under a proper map are coherent, and B. Remy, A. Thuillier and A. Werner provide an overview of their work on the compactification of Bruhat-Tits buildings using Berkovich analytic geometry. The third and final part explores the relationship between non-archimedean geometry and dynamics. A contribution by M. Jonsson contains a thorough discussion of non-archimedean dynamical systems in dimension 1 and 2. Finally a survey by J.-P. Otal gives an account of Morgan-Shalen's theory of compactification of character varieties. This book will provide the reader with enough material on the basic concepts and constructions related to Berkovich spaces to move on to more advanced research articles on the subject. We also hope that the applications presented here will inspire the reader to discover new settings where these beautiful and intricate objects might arise. We present an introduction to Berkovichs theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9783319110288

Title
Berkovich Spaces and Applications (Paperback)
Author
Antoine Ducros
Publisher
Springer International Publishing AG, Cham
Publication year
2014
Condition
new
Binding
Paperback
Language
English
ISBN 10
3319110284
ISBN 13
9783319110288

AussieBookSeller

Truganina, VIC, Australia

5-star seller

AbeBooks seller since June 22, 2007

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The Nile Group Pty Ltd

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Truganina, VIC Australia 3029