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Könyv Introduction to Arakelov Theory Serge Lang

Introduction to Arakelov Theory

Szerző: Serge Lang
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer-Verlag New York Inc.
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
42 641 Ft
Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global...

Információk a könyvről

Szerző
Serge Lang
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
oldal
187
EAN
9780387967936
ISBN
0387967931
Enbook ID
05248086
Kiadó
Springer-Verlag New York Inc.
Súly
1030
Méretek
155 x 235 x 16

Teljes leírás

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.

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