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Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
Umberto Zannier
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Description for Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
Paperback. 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. This book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. Series: Annals of Mathematics Studies. Num Pages: 176 pages. BIC Classification: PBMW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 174 x 254 x 5. Weight in Grams: 316.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Princeton University Press
Number of pages
176
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
176
Place of Publication
New Jersey, United States
ISBN
9780691153711
SKU
V9780691153711
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Umberto Zannier
Umberto Zannier is professor of mathematics at the Scuola Normale Superiore di Pisa in Pisa, Italy. He is the author of Lecture Notes on Diophantine Analysis and the editor of Diophantine Geometry.
Reviews for Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
"Zannier's book is well written and a pleasure to read... [T]he author always makes an effort to point out key ideas and key steps, so a reader who wants to read and understand the complete proofs in this technically demanding field will find this monograph to be an extremely helpful entree into the subject... [T]he reviewer highly recommends Zannier's book ... Read more