Some Problems of Unlikely Intersections in Arithmetic and Geometry / Umberto Zannier.

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
Main Author: Zannier, Umberto
Other Authors: Masser, David
Format: eBook
Language:English
Published: Princeton : Princeton University Press, 2012.
Series:Annals of mathematics studies ; no. 181.
Subjects:
Online Access:Click for online access

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100 1 |a Zannier, Umberto. 
245 1 0 |a Some Problems of Unlikely Intersections in Arithmetic and Geometry /  |c Umberto Zannier. 
260 |a Princeton :  |b Princeton University Press,  |c 2012. 
300 |a 1 online resource (175 pages) 
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490 1 |a Annals of mathematics studies ;  |v no. 181 
588 0 |a Print version record. 
520 |a 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. 
505 0 |a 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. 
504 |a Includes bibliographical references and index. 
650 0 |a Intersection theory (Mathematics) 
650 0 |a Algebraic varieties. 
650 0 |a Geometry, Algebraic. 
650 7 |a MATHEMATICS  |x Geometry  |x Algebraic.  |2 bisacsh 
650 7 |a Algebraic varieties  |2 fast 
650 7 |a Geometry, Algebraic  |2 fast 
650 7 |a Intersection theory (Mathematics)  |2 fast 
700 1 |a Masser, David. 
758 |i has work:  |a Some problems of unlikely intersections in arithmetic and geometry (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGRJ9vyCGkFHtj8RQpCt4y  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |z 9780691153711 
830 0 |a Annals of mathematics studies ;  |v no. 181. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=859035  |y Click for online access 
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