Arakelov geometry
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 a…
Read More ↓Title Statements
- Full title :Arakelov geometry / Atsushi Moriwaki ; translated by Atsushi Moriwaki.
Summary
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 inequali.
Read More ↓Edition Statements
- Publication Date:2014.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:2014.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9781470419608, 1470419602
- oclc:on1031936214
- LC Classification:QA242.6.M6713 2014
- Dewey Decimal:516.3/5
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