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Cover image for Some Problems of Unlikely Intersections in Arithmetic and Geometry.
Title:
Some Problems of Unlikely Intersections in Arithmetic and Geometry.
Author:
Zannier, Umberto.
ISBN:
9781400842711

9780691153704

9780691153711
Publication Information:
Princeton : Princeton University Press, 2012.
Physical Description:
1 online resource (175 pages).
Series:
Annals of mathematics studies ; no. 181

Annals of mathematics studies ; no. 181.
Abstract:
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.
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