O-Minimality and Diophantine Geometry (Paperback)

This collection of articles, originating from a short course held at the University of Manchester, explores the ideas behind Pila's proof of the Andre-Oort conjecture for products of modular curves. The basic strategy has three main ingredients: the Pila-Wilkie theorem, bounds on Galois orbits, and functional transcendence results. All of these topics are covered in this volume, making it ideal for researchers wishing to keep up to date with the latest developments in the field. Original papers are combined with background articles in both the number theoretic and model theoretic aspects of the subject. These include Martin Orr's survey of abelian varieties, Christopher Daw's introduction to Shimura varieties, and Jacob Tsimerman's proof via o-minimality of Ax's theorem on the functional case of Schanuel's conjecture.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	London Mathematical Society Lecture Note Series
Release date:	August 2015
Editors:	G.O. Jones • A. J. Wilkie
Dimensions:	229 x 152 x 13mm (L x W x T)
Format:	Paperback - Trade
Pages:	234
ISBN-13:	978-1-107-46249-6
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory Books > Science & Mathematics > Mathematics > Number theory > General Promotions
LSN:	1-107-46249-5
Barcode:	9781107462496

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