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O-Minimality and Diophantine Geometry

G. O. Jones and A. J. Wilkie, editors
Publisher: 
Cambridge University Press
Publication Date: 
2015
Number of Pages: 
221
Format: 
Paperback
Series: 
London Mathematical Society Lecture Notes Series 421
Price: 
80.00
ISBN: 
9781107462496
Category: 
Proceedings
We do not plan to review this book.

Preface A. J. Wilkie and G. O. Jones
1. The Manin–Mumford conjecture, an elliptic curve, its torsion points and their Galois orbits P. Habegger
2. Rational points on definable sets A. J. Wilkie
3. Functional transcendence via o-minimality Jonathan Pila
4. Introduction to abelian varieties and the Ax–Lindemann–Weierstrass theorem Martin Orr
5. The André–Oort conjecture via o-minimality Christopher Daw
6. Lectures on elimination theory for semialgebraic and subanalytic sets A. J. Wilkie
7. Relative Manin–Mumford for abelian varieties D. Masser
8. Improving the bound in the Pila–Wilkie theorem for curves G. O. Jones
9. Ax–Schanuel and o-minimality Jacob Tsimerman.