J. W. S. Cassels, E. V. Flynn

Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2

Herausgeber: Cassels, J. W. S.

• Broschiertes Buch

Produktbeschreibung

A unique insight into the topic of curves of genus 2, by two of the world's leading practitioners.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 236
• Erscheinungstermin: 31. August 2005
• Englisch
• Abmessung: 229mm x 152mm x 14mm
• Gewicht: 390g
• ISBN-13: 9780521483704
• ISBN-10: 0521483700
• Artikelnr.: 22415543

Inhaltsangabe

Background and conventions
1. Curves of genus 2
2. Construction of the jacobian
3. The Kummer surface
4. The dual of the Kummer
5. Weddle's surface
6. G/2G
7. The jacobian over local fields
Formal groups
8. Torsion
9. The isogeny
Theory
10. The isogeny
Applications
11. Computing the Mordell-Weil group
12. Heights
13. Rational points Chabauty's theorem
14. Reducible jacobians
15. The endomorphism ring
16. The desingularized Kummer
17. A neoclassical approach
18. Zukunftsmusik
Appendix 1. MAPLE programs
Appendix 2. Files available by FTP.