O-Minimality and Diophantine Geometry

ISBN: 9781107462496 出版年：2015 页码：236 G O Jones A J Wilkie Cambridge University Press

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 Andre-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.