The density of algebraic points on certain Pfaffian surfaces

Jones, G. O. and Thomas, M. E. M. (2011) The density of algebraic points on certain Pfaffian surfaces. The Quarterly Journal of Mathematics. (In Press)

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Abstract

We prove some instances of Wilkie's conjecture on the density of rational points on sets definable in the real exponential field. In particular, we prove that this conjecture is true for surfaces defined using restricted exponentiation, and that it is true for a general Pfaffian surface provided that the surface admits a certain kind of parameterization.

Item Type:	Article
Additional Information:	This is a preprint version. It differs slightly from the version to be published.
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory
Depositing User:	Gareth Jones
Date Deposited:	04 Jul 2011
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1644

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