Diophantine Approximation and Abelian Varieties : [introductory lectures]
The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Eac...
Enregistré dans:
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| Andre forfattere: | |
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1566 |
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| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Articles présentés à la conférence pour les étudiants en doctorat, donnée du 12 au 16 Avril 1992 à Soesterberg, Pays-Bas Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Diophantine approximation and abelian varieties, introductory lectures, B. Edixhoven, J.-H. Evertse, eds., 1993, Berlin, Springer, 1 vol. (XII-127 p.), Lecture notes in mathematics, 3-540-57528-6 • Diophantine Approximation and Abelian Varieties, Texte imprimé, 9783662179031 |
Indholdsfortegnelse:
- Diophantine Equations and Approximation
- Diophantine Approximation and its Applications
- Roth s Theorem
- The Subspace Theorem of W.M. Schmidt
- Heights on Abelian Varieties
- D. Mumford s A Remark on Mordell s Conjecture
- Ample Line Bundles and Intersection Theory
- The Product Theorem
- Geometric Part of Faltings s Proof
- Faltings s Version of Siegel s Lemma
- Arithmetic Part of Faltings s Proof
- Points of Degree d on Curves over Number Fields
- The General Case of S. Lang s Conjecture (after Faltings).