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.
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.
Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
118Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
118Product Details
ISBN-13: | 9781400882472 |
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Publisher: | Princeton University Press |
Publication date: | 03/02/2016 |
Series: | Annals of Mathematics Studies , #127 |
Sold by: | Barnes & Noble |
Format: | eBook |
Pages: | 118 |
File size: | 10 MB |