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.
| ISBN: | 9780691025445 |
| Publication date: | 1st July 1992 |
| Author: | Gerd Faltings |
| Publisher: | Princeton University Press |
| Format: | Paperback |
| Pagination: | 118 pages |
| Series: | Annals of Mathematics Studies |
| Genres: |
Algebraic geometry |