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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...
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Princeton :
Princeton Univ Press,
2016.
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- Frontmatter
- TABLE OF CONTENTS
- INTRODUCTION
- LIST OF SYMBOLS
- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM
- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES
- LECTURE 3. LAPLACIANS AND HEAT KERNELS
- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS
- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES
- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM
- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT
- REFERENCES