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Lectures on the arithmetic Riemann-Roch theorem

Author: Gerd Faltings; Shouwu Zhang
Publisher: Princeton : Princeton University Press, 1992.
Series: Annals of mathematics studies, 127
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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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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Document Type: Book
All Authors / Contributors: Gerd Faltings; Shouwu Zhang
ISBN: 0691025444 9780691025445
OCLC Number: 468348933
Notes: Bibliogr. p. 99-100.
Description: X-100 p. ; 24 cm.
Contents: IntroductionList of SymbolsLecture 1Classical Riemann-Roch Theorem3Lecture 2Chern Classes of Arithmetic Vector Bundles15Lecture 3Laplacians and Heat Kernels29Lecture 4The Local Index Theorem for Dirac Operators44Lecture 5Number Operators and Direct Images62Lecture 6Arithmetic Riemann-Roch Theorem77Lecture 7The Theorem of Bismut-Vasserot93References99
Series Title: Annals of mathematics studies, 127
Responsibility: by Gerd Falting ; 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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