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Lectures on the arithmetic Reimann-Roch theorem

著者: Gerd Faltings
出版商: Princeton (New Jersey) : Princeton University Press, 1992.
丛书: Annals of mathematics studies, No. 127.
版本/格式:   Print book : 英语查看所有的版本和格式
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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  再读一些...

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所有的著者/提供者: Gerd Faltings
ISBN: 0691087717 9780691087719 0691025444 9780691025445
OCLC号码: 439609274
描述: X, 100 str. ; 25 cm.
内容: 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
丛书名: Annals of mathematics studies, No. 127.
责任: 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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