This collection of articles brings the researcher up to date with recent applications of logic, specifically model theory, to conjectures associated with those of Maninâ Mumford and Andrà â Oort. Originating from a short course, it combines original papers with background articles on related topics.
This collection of articles brings the researcher up to date with recent applications of logic, specifically model theory, to conjectures associated with those of Maninâ Mumford and Andrà â Oort. Originating from a short course, it combines original papers with background articles on related topics.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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.
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