Lectures on the Arithmetic Riemann-Roch Theorem

Download or read book Lectures on the Arithmetic Riemann-Roch Theorem written by Gerd Faltings and published by Princeton University Press. This book was released on 1992-03-10 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.