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

Name: Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
Price: 22.36 USD
Availability: InStock
ISBN: 9780691025445

ISBN-10: 0691025444

ISBN-13: 9780691025445

Edition: 1992 (Limited)

Authors: Gerd Faltings

List price: $66.00

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Description:

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.

Book details

List price: $66.00
Copyright year: 1992
Publisher: Princeton University Press
Publication date: 3/10/1992
Binding: Paperback
Pages: 118
Size: 5.98" wide x 8.94" long x 0.43" tall
Weight: 0.374
Language: English



Introduction


List of Symbols



Classical Riemann-Roch Theorem



Chern Classes of Arithmetic Vector Bundles



Laplacians and Heat Kernels



The Local Index Theorem for Dirac Operators



Number Operators and Direct Images



Arithmetic Riemann-Roch Theorem



The Theorem of Bismut-Vasserot


References