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Author Zannier, Umberto.

Title Some Problems of Unlikely Intersections in Arithmetic and Geometry [electronic resource].

Imprint Princeton : Princeton University Press, 2012.

Item Status

Description 1 online resource (175 pages).
Series Annals of mathematics studies ; no. 181
Annals of mathematics studies ; no. 181.
Summary 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 in a set of unlikely dimension. The book is an expansion of the Hermann Weyl Lectures delivered by Umberto Zannier at the Institute for Advanced Study in Princeton in May 2010. The book consists of four chapters and seven brief appendixes, the last six by David Masser. The first chapter considers multipli.
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.
Bibliography Includes bibliographical references and index.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Intersection theory.
Algebraic varieties.
Geometry, Algebraic.
Genre/Form Electronic books.
Electronic books.
Added Author Masser, David.
Other Form: Print version: 9780691153711
ISBN 9781400842711 (electronic bk.)
1400842719 (electronic bk.)