22645494
9780691087719
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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.Gerd Faltings is the author of 'Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127) (Annals of Mathematics Studies)', published 1992 under ISBN 9780691087719 and ISBN 0691087717.
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