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Lectures on the Mordell-Weil Theorem de Jean-P. Serre

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

Autor Jean-P. Serre Editat de Martin L. Brown Traducere de Michel Waldschmidt
en Limba Engleză Paperback – 13 noi 2013

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Specificații

ISBN-13: 9783663106340
ISBN-10: 3663106349
Pagini: 232
Ilustrații: X, 218 p.
Dimensiuni: 170 x 244 x 12 mm
Greutate: 0.38 kg
Ediția:3rd ed. 1997. Softcover reprint of the original 3rd ed. 1997
Editura: Vieweg+Teubner Verlag
Colecția Vieweg+Teubner Verlag
Seria Aspects of Mathematics

Locul publicării:Wiesbaden, Germany

Public țintă

Professional/practitioner

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.- A.1. Historical remarks.- A.4. Elliptic curves with complex multiplication.- A.5. Modular curves associated to normalisers of Cartan subgroups and their CM integral points.- A.6. Examples.- A.7. The Gel’fond-Linnik-Baker method.

Notă biografică

Professor Jean-Pierre Serre ist ein renommierter französischer Mathematiker am Collège de France, Paris.

Caracteristici

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