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Introduction to Arakelov Theory

Authors: Lang, Serge

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  • ISBN 978-1-4612-1031-3
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About this book

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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-1-4612-1031-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
Softcover 83,19 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Arakelov Theory
Authors
Copyright
1988
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1031-3
DOI
10.1007/978-1-4612-1031-3
Hardcover ISBN
978-0-387-96793-6
Softcover ISBN
978-1-4612-6991-5
Edition Number
1
Number of Pages
X, 187
Topics

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