Some Problems of Unlikely Intersections in Arithmetic and Geometry /

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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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Zannier, Umberto
Other Authors: Masser, David
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2012.
Series:Annals of mathematics studies ; no. 181.
Subjects:
Intersection theory (Mathematics)
Algebraic varieties.
Geometry, Algebraic.
Théorie des intersections.
Variétés algébriques.
Géométrie algébrique.
MATHEMATICS > Geometry > Algebraic.
Online Access:Texto completo
Table of Contents:
  • 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.

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