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

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

ISBN-10: 1107462495

ISBN-13: 9781107462496

This choice of articles, originating from a quick path held on the college of Manchester, explores the information in 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 subject matters are lined during this quantity, making it perfect for researchers wishing to maintain thus far with the newest advancements within the box. unique papers are mixed with historical past articles in either the quantity theoretic and version theoretic facets of the topic. those contain Martin Orr's survey of abelian kinds, Christopher Daw's creation to Shimura kinds, 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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