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Lectures on the arithmetic riemann-roch theorem. (am-127).
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 enabl...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton Univ Press,
2016.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Gerd Faltings. | |
| 245 | 1 | 0 | |a Lectures on the arithmetic riemann-roch theorem. (am-127). |
| 260 | |a Princeton : |b Princeton Univ Press, |c 2016. | ||
| 300 | |a 1 online resource | ||
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| 505 | 0 | 0 | |t Frontmatter -- |t TABLE OF CONTENTS -- |t INTRODUCTION -- |t LIST OF SYMBOLS -- |t LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- |t LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- |t LECTURE 3. LAPLACIANS AND HEAT KERNELS -- |t LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- |t LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- |t LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- |t LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- |t REFERENCES |
| 520 | |a 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. | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 0 | |a Riemann-Roch theorems. | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 6 | |a Théorème de Riemann-Roch. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 650 | 7 | |a Riemann-Roch theorems |2 fast | |
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