Książka Introduction to Arakelov Theory Serge Lang

Introduction to Arakelov Theory

Autor: Serge Lang
Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-18 dni
402.78
Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2012
strony
187
EAN
9781461269915
ISBN
1461269911
Enbook ID
06795037
Waga
314
Wymiary
155 x 235 x 12

Pełny opis

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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