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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127)

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The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. 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.

Author(s): Gerd Faltings
Edition: Limited Ed
Year: 1992

Language: English
Pages: 105