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Arakelov geometry
Uniform Title
Arakerofu kika. English
Title
Arakelov geometry / Atsushi Moriwaki ; translated by Atsushi Moriwaki.
ISBN
9781470410742
1470410745
Edition
English language edition.
Publication
Providence, Rhode Island : American Mathematical Society, 2014.
Physical Description
ix, 285 pages ; 27 cm.
Notes
Originally published in Japanese: Arakerofu kika (Tokyo : Iwanam Shoten, 2008).
In English.
Format
Books
Language
English
Added to Catalog
November 13, 2014
Series
Translations of mathematical monographs, volume 244
Bibliography
Includes bibliographical references and index.
Contents
Chapter 1. Preliminaries
chapter 2. Geometry of numbers
chapter 3. Arakelov geometry on arithmetic curves
chapter 4. Arakelov geometry on arithmetic surfaces
chapter 5. Arakelov geometry on general arithmetic varieties
chapter 6. Arithmetic volume function and its continuity
chapter 7. Nakai-Moishezon criterion on an arithmetic variety
Chapter 8. Arithmetic Bogomolov inequality
chapter 9. Lang-Bogomolov conjecture.
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