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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
O-Minimality and Diophantine Geometry

O-Minimality and Diophantine Geometry

Jones, G. O.
Wilkie, A. J.

Paperback

Series: London Mathematical Society Lecture Note, Book 421

General MathematicsGeometry

ISBN10: 1107462495
ISBN13: 9781107462496
Publisher: Cambridge University Press
Published: Aug 13 2015
Pages: 234
Weight: 0.75
Height: 0.51 Width: 6.00 Depth: 9.05
Language: English
This collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre-Oort conjecture for products of modular curves. The basic strategy has three main ingredients: the Pila-Wilkie theorem, bounds on Galois orbits, and functional transcendence results. All of these topics are covered in this volume, making it ideal for researchers wishing to keep up to date with the latest developments in the field. Original papers are combined with background articles in both the number theoretic and model theoretic aspects of the subject. These include Martin Orr's survey of abelian varieties, Christopher Daw's introduction to Shimura varieties, and Jacob Tsimerman's proof via o-minimality of Ax's theorem on the functional case of Schanuel's conjecture.

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