Lectures on the Arithmetic Riemann-Roch Theorem

ISBN-13: 9780691025445 / Angielski / Miękka / 1992 / 118 str.

Gerd Faltings; Shouwu Zhang

Opis

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.