Download e-book for iPad: O-Minimality and Diophantine Geometry (London Mathematical by G. O. Jones,A. J. Wilkie

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

This number of articles, originating from a brief path held on the collage of Manchester, explores the guidelines at the back of Pila's facts of the Andre–Oort conjecture for items of modular curves. the fundamental procedure has 3 major materials: the Pila–Wilkie theorem, bounds on Galois orbits, and sensible transcendence effects. All of those issues are lined during this quantity, making it perfect for researchers wishing to maintain so far with the newest advancements within the box. unique papers are mixed with history articles in either the quantity theoretic and version theoretic elements of the topic. those comprise Martin Orr's survey of abelian kinds, Christopher Daw's advent to Shimura forms, and Jacob Tsimerman's facts through o-minimality of Ax's theorem at the useful case of Schanuel's conjecture.

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O-Minimality and Diophantine Geometry (London Mathematical Society Lecture Note Series) by G. O. Jones,A. J. Wilkie

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