Book contents
- Frontmatter
- Dedication
- Contents
- Organization
- Acknowledgements
- 1 Introduction
- Part I Modular forms and their variants
- Part II Extensions and applications
- Part III Appendix
- Appendix A Some arithmetic
- Appendix B Riemann surfaces
- Appendix C Line bundles on Riemann surfaces
- Appendix D Riemann #-functions and meromorphic forms
- Appendix E Solutions to exercises
- References
- Index
Appendix D - Riemann #-functions and meromorphic forms
from Part III - Appendix
Published online by Cambridge University Press: 28 November 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Organization
- Acknowledgements
- 1 Introduction
- Part I Modular forms and their variants
- Part II Extensions and applications
- Part III Appendix
- Appendix A Some arithmetic
- Appendix B Riemann surfaces
- Appendix C Line bundles on Riemann surfaces
- Appendix D Riemann #-functions and meromorphic forms
- Appendix E Solutions to exercises
- References
- Index
Summary
In this final appendix, we shall review the modular geometry of the Siegel half-space at higher rank, Riemann theta-functions of higher rank, the embedding of higher-genus Riemann surfaces into the Jacobian variety via the Abel map, and use these ingredients to construct the prime form, the Szego kernel, and other meromorphic functions and differential forms on higher-genus Riemann surfaces.
- Type
- Chapter
- Information
- Modular Forms and String Theory , pp. 391 - 402Publisher: Cambridge University PressPrint publication year: 2024