Lectures on the Arithmetic Riemann-Roch Theorem

AvGerd Faltings

Häftad, Engelska, 1992

Del i serien Annals of Mathematics Studies

1 101 kr

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E-bok

837 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:1992-03-10
Mått:152 x 229 x 14 mm
Vikt:170 g
Format:Häftad
Språk:Engelska
Serie:Annals of Mathematics Studies
Antal sidor:118
Förlag:Princeton University Press
ISBN:9780691025445

Utforska kategorier

Recensioner i media

"This treatise provides a new approach to the arithmetic Riemann-Roch problem, and a widely algebraic-geometric method to solve it."--Zentralblatt fur Mathematik

Innehållsförteckning

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

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Lectures on the Arithmetic Riemann-Roch Theorem

AvGerd Faltings

Häftad, Engelska, 1992

Del i serien Annals of Mathematics Studies

1 101 kr

Beställningsvara. Skickas inom 3-6 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

E-bok

837 kr

Beskrivning

Produktinformation

Utgivningsdatum:1992-03-10
Mått:152 x 229 x 14 mm
Vikt:170 g
Format:Häftad
Språk:Engelska
Serie:Annals of Mathematics Studies
Antal sidor:118
Förlag:Princeton University Press
ISBN:9780691025445

Utforska kategorier

Recensioner i media

"This treatise provides a new approach to the arithmetic Riemann-Roch problem, and a widely algebraic-geometric method to solve it."--Zentralblatt fur Mathematik

Innehållsförteckning

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