Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
(Paperback)
Publishing Details
Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
By (Author) Gerd Faltings
Princeton University Press
Princeton University Press
19th May 1992
United States
Classifications
Professional and Scholarly
Non Fiction
Calculus and mathematical analysis
515.43
Physical Properties
Paperback
118
Width 152mm, Height 229mm
170g
Description
The arithmetic Riemann-Roch theorem has been shown recently by Bismut-Gillet-Soule. 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.
Reviews
"This treatise provides a new approach to the arithmetic Riemann-Roch problem, and a widely algebraic-geometric method to solve it."--Zentralblatt fur Mathematik
