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Lectures on the Mordell-Weil Theorem de Jean Pierre Serre

Lectures on the Mordell-Weil Theorem: Aspects of Mathematics, cartea E 15

Autor Jean Pierre Serre
de Limba Germană Paperback – 1989

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Specificații

ISBN-13: 9783528089689
ISBN-10: 3528089687
Pagini: 232
Ilustrații: X, 220 S.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.33 kg
Ediția:1989
Editura: Vieweg+Teubner Verlag
Colecția Vieweg+Teubner Verlag
Seria Aspects of Mathematics

Locul publicării:Wiesbaden, Germany

Public țintă

Research

Cuprins

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.