Lectures on the arithmetic Riemann-Roch theorem

Bibliographic Information

Lectures on the arithmetic Riemann-Roch theorem

by Gerd Faltings ; notes taken by Shouwu Zhang

(Annals of mathematics studies, no. 127)

Princeton University Press, 1992

  • : hard
  • : pbk

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Note

Bibliography: p. 99-100

Description and Table of Contents

Description

The arithmetic Riemann-Roch theorem has been shown recently by Bismut-Gillet-Soule. The proof mixes algebra, arithmetic and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov theory.

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