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Some Problems of Unlikely Intersections in Arithmetic and Geometry by Zannier
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Item specifics
- Condition
- Book Title
- Some Problems of Unlikely Intersections in Arithmetic and Geometr
- Publication Date
- 2012-03-25
- Pages
- 176
- ISBN
- 9780691153704
- Subject Area
- Mathematics
- Publication Name
- Some Problems of Unlikely Intersections in Arithmetic and Geometry (Am-181)
- Item Length
- 0.1 in
- Publisher
- Oxford University Press, Incorporated
- Subject
- Geometry / Algebraic, Arithmetic
- Publication Year
- 2012
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.1 in
- Item Width
- 0.1 in
- Item Weight
- 0.1 Oz
- Number of Pages
- 176 Pages
About this product
Product Information
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 Andr -Oort conjecture (outlining work by Pila).
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0691153701
ISBN-13
9780691153704
eBay Product ID (ePID)
111395552
Product Key Features
Publication Name
Some Problems of Unlikely Intersections in Arithmetic and Geometry (Am-181)
Format
Hardcover
Language
English
Subject
Geometry / Algebraic, Arithmetic
Publication Year
2012
Type
Textbook
Subject Area
Mathematics
Number of Pages
176 Pages
Dimensions
Item Length
0.1 in
Item Height
0.1 in
Item Width
0.1 in
Item Weight
0.1 Oz
Additional Product Features
LCCN
2011-037619
Intended Audience
Scholarly & Professional
Lc Classification Number
Qa564.Z36 2012
Reviews
"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 as an excellent survey of and introduction to the important and hot topic of unlikely intersections in arithmetic geometry."-- Joseph H. Silverman, Bulletin of the AMS, "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 as an excellent survey of and introduction to the important and hot topic of unlikely intersections in arithmetic geometry." --Joseph H. Silverman, Bulletin of the AMS, This book is indeed a great source of knowledge and inspiration for everybody interested in the unlikely intersection problems. The author must be commended for doing this job, and doing it so well., "This book is indeed a great source of knowledge and inspiration for everybody interested in the unlikely intersection problems. The author must be commended for doing this job, and doing it so well."-- Yuri Bilu, Mathematical Reviews Clippings, This book is indeed a great source of knowledge and inspiration for everybody interested in the unlikely intersection problems. The author must be commended for doing this job, and doing it so well. ---Yuri Bilu, Mathematical Reviews Clippings, 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 as an excellent survey of and introduction to the important and hot topic of unlikely intersections in arithmetic geometry. ---Joseph H. Silverman, Bulletin of the AMS, "This book is indeed a great source of knowledge and inspiration for everybody interested in the unlikely intersection problems. The author must be commended for doing this job, and doing it so well." --Yuri Bilu, Mathematical Reviews Clippings, 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 as an excellent survey of and introduction to the important and hot topic of unlikely intersections in arithmetic geometry.
Copyright Date
2012
Dewey Decimal
516.3/5
Dewey Edition
23
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