Algebra

Introduction to Arakelov Theory

Name: Introduction to Arakelov Theory
Brand: Springer
SKU: 9780387967936
Price: 12770.00 INR
Availability: InStock
ISBN: 9780387967936

INTRO TO ARAKELOV THEORY 1988/

Contributor(s): Lang, Serge Author Format: Hardback

Hardback · ISBN 9780387967936

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Key Specifications

ISBN	9780387967936
Subtitle	INTRO TO ARAKELOV THEORY 1988/
Publisher	Springer
Publication date	November 1988
Language	English
MRP	£89.99 GBP
Page count	204
Item weight	103 g

Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field. The book gives an introduction to this theory, including the analogues of the Hodge Index Theorem, the Arakelov adjunction formula, and the Faltings Riemann-Roch theorem. The book is intended for second year graduate students and researchers in the field who want a systematic introduction to the subject. The residue theorem, which forms the basis for the adjunction formula, is proved by a direct method due to Kunz and Waldi. The Faltings Riemann-Roch theorem is proved without assumptions of semistability. An effort has been made to include all necessary details, and as complete references as possible, especially to needed facts of analysis for Green's functions and the Faltings metrics.

Introduction to Arakelov Theory

Key Specifications

Lang, Serge Author

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