O-Minimality and Diophantine Geometry

Klappentext This book brings the researcher up to date with recent applications of mathematical logic to number theory. Zusammenfassung This collection of articles brings the researcher up to date with recent applications of logic, specifically model theory, to conjectures associated with those of Manin–Mumford and André–Oort. Originating from a short course, it combines original papers with background articles on related topics. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: G. O. Jones, G.O. Jones, A J Wilkie, A. J. Wilkie, A. J. Jones Wilkie, Alex Wilkie
• Con la collaborazione di: G. O. Jones (Editore), G. O. (University of Manchester) Jones (Editore), Gareth Jones (Editore), A. J. Wilkie (Editore), A. J. (University of Manchester) Wilkie (Editore), Alex Wilkie (Editore)
• Editore: Cambridge University Press Academic
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 13.08.2015
• EAN: 9781107462496
• ISBN: 978-1-107-46249-6
• Dimensioni: 154 mm x 228 mm x 14 mm
• Serie: London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Altro