Lectures on the Arithmetic Riemann-Roch Theorem
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.
What people are saying - Write a review
Other editions - View all
An Arithmetic Riemann-Roch Theorem for Singular Arithmetic Surfaces, Issue 573
No preview available - 1991