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Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) (Hardcover) Loot Price: R4,479
Discovery Miles 44 790
You Save: R247 (5%)
Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) (Hardcover): Umberto Zannier

Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) (Hardcover)

Umberto Zannier; Appendix by David Masser

Series: Annals of Mathematics Studies

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List price R4,726 Loot Price R4,479 Discovery Miles 44 790 | Repayment Terms: R420 pm x 12* You Save R247 (5%)

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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 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 multiplicative algebraic groups, presenting proofs of several developments, ranging from the origins to recent results, and discussing many applications and relations with other contexts. The second chapter considers an analogue in arithmetic and several applications of this. The third chapter introduces a new method for approaching some of these questions, and presents a detailed application of this (by Masser and the author) to a relative case of the Manin-Mumford issue. The fourth chapter focuses on the Andre-Oort conjecture (outlining work by Pila)."

General

Imprint: Princeton University Press
Country of origin: United States
Series: Annals of Mathematics Studies
Release date: March 2012
First published: March 2012
Authors: Umberto Zannier
Appendix by: David Masser
Dimensions: 254 x 178 x 18mm (L x W x T)
Format: Hardcover - Trade binding
Pages: 176
ISBN-13: 978-0-691-15370-4
Categories: Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
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LSN: 0-691-15370-1
Barcode: 9780691153704

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