Lectures on the Arithmetic Riemann Roch Theorem. (AM 127), Volume 127

Gerd Faltings Shouwu Zhang

ISBN 10: 0691025444 / ISBN 13: 9780691025445

Published by Princeton Univ Pr, 1992

About this Item

limited ed edition. 118 pages. 9.25x6.25x0.50 inches. In Stock.

Seller Inventory # x-0691025444

Bibliographic Details

• Title: Lectures on the Arithmetic Riemann Roch Theorem. (AM 127), Volume 127
• Publisher: Princeton Univ Pr
• Publication Date: 1992
• Language: English
• ISBN 10: 0691025444
• ISBN 13: 9780691025445
• Binding: Paperback
• Condition: Brand New
• Weight: 0.18 kilograms

About this title

Synopsis

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.

Review

"This treatise provides a new approach to the arithmetic Riemann-Roch problem, and a widely algebraic-geometric method to solve it." (Zentralblatt für Mathematik)