Google full text of our books:


Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)
Umberto Zannier
With appendixes by David Masser

Paperback | 2012 | $90.00 | £74.95 | ISBN: 9780691153711
Hardcover | 2012 | $205.00 | £170.95 | ISBN: 9780691153704
176 pp. | 7 x 10
Add to Shopping Cart

eBook | ISBN: 9781400842711 |
Our eBook editions are available from these online vendors

Reviews | Table of Contents
Introduction[PDF] pdf-icon | Table of Contents [PDF] pdf-icon

Google full text of this book:

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 André-Oort conjecture (outlining work by Pila).


"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

Table of Contents


Subject Area:


Shopping Cart options:

  • For ebooks:

Our eBook editions are available
from these online vendors:

  • Amazon Kindle Store
  • Apple iBooks
  • Barnes & Noble Nook Store
  • Google Play eBook Store
  • Kobo eBook Store
  • Many of our ebooks are available through
    library electronic resources including these platforms:

  • Books at JSTOR
  • Ebrary
  • Ebook Library
  • EBSCO Ebooks
  • MyiLibrary
  • Dawsonera (UK)

    • For hardcover/paperback orders in United States, Canada, Latin America, Asia, and Australia

     Paperback : $90.00 ISBN: 9780691153711

    Add to shopping cart

     Hardcover : $205.00 ISBN: 9780691153704

    Add to shopping cart
    View contents of your shopping cart

    • For hardcover/paperback orders in Europe, Africa, the Middle East, India, and Pakistan

     Hardcover  £170.95 ISBN: 9780691153704

    Add to shopping cart

     Paperback  £74.95 ISBN: 9780691153711

    Add to shopping cart
    View contents of your shopping cart

    Prices subject to change without notice

    File created: 7/11/2017

    Questions and comments to:
    Princeton University Press

    New Book E-mails
    New In Print
    PUP Blog
    Princeton APPS
    Sample Chapters
    Princeton Legacy Library
    Exam/Desk Copy
    Recent Awards
    Princeton Shorts
    Freshman Reading
    PUP Europe
    About Us
    Contact Us
    PUP Home

    Bookmark and Share 
    Send me emails
    about new books in:
    More Choices