Introduction to Arakelov Theory pdf epub mobi txt 电子书下载 2024

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Serge Lang

Springer

1988-11-9

197

USD 100.00

Hardcover

9780387967936

图书标签: 数学算术几何数论几何代数几何7 代数几何 Math

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发表于2024-11-08

Introduction to Arakelov Theory epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Introduction to Arakelov Theory pdf epub mobi txt 电子书下载 2024

图书描述

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 下载 mobi epub pdf txt 电子书