Lectures on the Mordell-Weil theorem

Author(s)

• Serre, Jean Pierre
• Brown, M. (Martin)
• Waldschmidt, Michel

Bibliographic Information

Lectures on the Mordell-Weil theorem

Jean-Pierre Serre ; translated and edited by Martin Brown from notes by Michel Waldschmidt

（Aspects of mathematics = Aspekte der Mathematik, v. E15）

F. Vieweg, c1989

Other Title

Autour du théorème de Mordell-Weil

Note

Bibliography: p. 200-209

Includes index

Description and Table of Contents

Table of Contents

1. Summary.- 2. Heights.- 3. Normalised heights.- 4. The Mordell-Weil theorem.- 5. Mordell's conjecture.- 6. Local calculation of normalised heights.- 7. Siegel's method.- 8. Baker's method.- 9. Hilbert's irreducibility theorem.- 10. Construction of Galois extensions.- 11. Construction of elliptic curves of large rank.- 12. The large sieve.- 13. Applications of the large sieve to thin sets.- Appendix: The class number 1 problem and integral points on modular curves.

by "Nielsen BookData"

Details

• NCID: BA07081809
• ISBN:
  • 3528089687
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: fre
• Place of Publication: Braunschweig ; Wiesbaden
• Pages/Volumes: x, 218 p.
• Size: 24 cm
• Classification:
  • NDC8 : 412.4
• Subject Headings:
  • LCSH : Algebraic varieties
• Parent Bibliography ID:
  • BA00423416