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Prolegomena to a middlebrow arithmetic of curves of genus 2 /
The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. Included is an explicit treatment of the Jacobian, which throws new light...
| Call Number: | Libro Electrónico |
|---|---|
| Main Author: | |
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Cambridge ; New York :
Cambridge University Press,
1996.
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| Series: | London Mathematical Society lecture note series ;
230. |
| Subjects: | |
| Online Access: | Texto completo |
Table of Contents:
- Ch. 1. Curves of genus 2
- Ch. 2. Construction of the jacobian
- Ch. 3. The Kummer surface
- Ch. 4. The dual of the Kummer
- Ch. 5. Weddle's surface
- Ch. 6. [actual symbol not reproducible]
- Ch. 7. The jacobian over local fields. Formal groups
- Ch. 8. Torsion
- Ch. 9. The isogeny. Theory
- Ch. 10. The isogeny. Applications
- Ch. 11. Computing the Mordell-Weil group
- Ch. 12. Heights
- Ch. 13. Rational points. Chabauty's Theorem
- Ch. 14. Reducible jacobians
- Ch. 15. The endomorphism ring
- Ch. 16. The desingularized Kummer
- Ch. 17. A neoclassical approach
- Ch. 18. Zukunftsmusik
- Appendix I. MAPLE programs
- Appendix II. Files available by anonymous ftp.