Description 
1 online resource (175 pages). 
Series 
Annals of mathematics studies ; no. 181


Annals of mathematics studies ; no. 181.

Summary 
This book considers the socalled Unlikely Intersections, a topic that embraces wellknown issues, such as Lang's and ManinMumford'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.) 

9780691153704 

0691153701 

9780691153711 

069115371X 

1283457059 

9781283457057 
