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Arakelov Geometry
Atsushi Moriwaki
€ 167.71
€ 149.04
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Description for Arakelov Geometry
Series: Translations of Mathematical Monographs Reprint. Num Pages: 285 pages. BIC Classification: PBF; PBH; PBMW. Category: (P) Professional & Vocational. Dimension: 254 x 178. .
The main goal of this book is to present the so-called birational Arakelov geometry, which can be viewed as an arithmetic analog of the classical birational geometry, i.e., the study of big linear series on algebraic varieties. After explaining classical results about the geometry of numbers, the author starts with Arakelov geometry for arithmetic curves, and continues with Arakelov geometry of arithmetic surfaces and higher-dimensional varieties. The book includes such fundamental results as arithmetic Hilbert-Samuel formula, arithmetic Nakai-Moishezon criterion, arithmetic Bogomolov inequality, the existence of small sections, the continuity of arithmetic volume function, the Lang-Bogomolov conjecture and so on. In ... Read more
The main goal of this book is to present the so-called birational Arakelov geometry, which can be viewed as an arithmetic analog of the classical birational geometry, i.e., the study of big linear series on algebraic varieties. After explaining classical results about the geometry of numbers, the author starts with Arakelov geometry for arithmetic curves, and continues with Arakelov geometry of arithmetic surfaces and higher-dimensional varieties. The book includes such fundamental results as arithmetic Hilbert-Samuel formula, arithmetic Nakai-Moishezon criterion, arithmetic Bogomolov inequality, the existence of small sections, the continuity of arithmetic volume function, the Lang-Bogomolov conjecture and so on. In ... Read more
Product Details
Publication date
2014
Publisher
American Mathematical Society United States
Number of pages
285
Condition
New
Series
Translations of Mathematical Monographs Reprint
Number of Pages
285
Format
Hardback
Place of Publication
Providence, United States
ISBN
9781470410742
SKU
V9781470410742
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
About Atsushi Moriwaki
Atsushi Moriwaki, Kyoto University, Japan.
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