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Lectures on the arithmetic Riemann-Roch theorem

Author: Gerd Faltings; Shouwu Zhang
Publisher: Princeton, N.J. : Princeton University Press, 1992.
Series: Annals of mathematics studies, no. 127.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

The arithmetic Riemann-Roch Theorem has been shown by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. This book gives an introduction to the necessary techniques, and presents  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Gerd Faltings; Shouwu Zhang
ISBN: 0691087717 9780691087719 0691025444 9780691025445
OCLC Number: 24847690
Description: x, 100 pages ; 25 cm.
Contents: 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.
Series Title: Annals of mathematics studies, no. 127.
Responsibility: by Gerd Faltings ; notes taken by Shouwu Zhang.
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"This treatise provides a new approach to the arithmetic Riemann-Roch problem, and a widely algebraic-geometric method to solve it."--Zentralblatt fur Mathematik

 
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