Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2

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Beschreibung

The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides insights into this subject. Number theorists, algebraic geometers and workers in related areas will find that this book offers insights into the arithmetic of curves of genus 2. It includes an explicit treatment of the Jacobian.

Klappentext

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

Inhalt

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.

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Produktinformationen

Titel
Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2
Autor
Editor
EAN
9780521483704
ISBN
0521483700
Format
Kartonierter Einband
Herausgeber
Cambridge University Press
Anzahl Seiten
236
Gewicht
369g
Größe
H229mm x B152mm x T14mm
Jahr
2005
Untertitel
Englisch
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