Lectures on the Arithmetic Riemann-Roch Theorem
| By: | Gerd Faltings |
| Publisher: | Princeton University Press |
| Print ISBN: | 9780691025445 |
| eText ISBN: | 9781400882472 |
| Edition: | 0 |
| Copyright: | 1992 |
| Format: | Page Fidelity |
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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.