Drinfeld Modules
This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory. After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and t...
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| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Vydání: | 1st ed. 2023. |
| Edice: | Graduate Texts in Mathematics,
296 |
| Témata: | |
| On-line přístup: | https://doi.org/10.1007/978-3-031-19707-9 |
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Obsah:
- Preface
- Acknowledgements
- Notation and Conventions
- Chapter 1. Algebraic Preliminaries
- Chapter 2. Non-Archimedean Fields
- Chapter 3. Basic Properties of Drinfeld Modules
- Chapter 4. Drinfeld Modules over Finite Fields
- Chapter 5. Analytic Theory of Drinfeld Modules
- Chapter 6. Drinfeld Modules over Local Fields
- Chapter 7. Drinfeld Modules over Global Fields
- Appendix A. Drinfeld modules for general function rings
- Appendix B. Notes on exercises
- Bibliography
- Index.