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Some Problems of Unlikely Intersections in Arithmetic and Geometry /
This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given subvariety...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2012.
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| Colección: | Annals of mathematics studies ;
no. 181. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; Preface; Notation and Conventions; Introduction: An Overview of Some Problems of Unlikely Intersections; 1 Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture; 1.1 Torsion points on subvarieties of G; 1.2 Higher multiplicative rank; 1.3 Remarks on Theorem 1.3 and its developments; 1.3.1 Fields other than Q; 1.3.2 Weakened assumptions; 1.3.3 Unlikely intersections of positive dimension and height bounds; 1.3.4 Unlikely intersections of positive dimension and Zilber's conjecture.