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Lectures on the arithmetic Reimann-Roch theorem

Autor: Gerd Faltings
Editora: Princeton (New Jersey) : Princeton University Press, 1992.
Séries: Annals of mathematics studies, No. 127.
Edição/Formato   Print book : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:

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  Ler mais...

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Tipo de Documento: Livro
Todos os Autores / Contribuintes: Gerd Faltings
ISBN: 0691087717 9780691087719 0691025444 9780691025445
Número OCLC: 439609274
Descrição: X, 100 str. ; 25 cm.
Conteúdos: 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
Título da Série: Annals of mathematics studies, No. 127.
Responsabilidade: 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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