Introduction to Arakelov Theory 2024 pdf epub mobi 电子书

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发表于2024-12-23

Introduction to Arakelov Theory 2024 pdf epub mobi 电子书

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出版者:Springer

作者:Serge Lang

出品人:

页数:197

译者:

出版时间:1988-11-9

价格:USD 100.00

装帧:Hardcover

isbn号码:9780387967936

丛书系列:

图书标签: 数学算术几何数论几何代数几何7 代数几何 Math

Introduction to Arakelov Theory 2024 pdf epub mobi 电子书图书描述

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 2024 pdf epub mobi 电子书

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