20 citations · 29 across the 3 of their papers we have counts for
4 papers
Analytic continuation and Zilber's quasiminimality conjecture
Alex Wilkie
In this article, which is dedicated to my friend and colleague Boris Zilber on the occasion of his 75th birthday, I put forward a strategy for proving his quasiminimality conjectur…
Uniform parameterization of subanalytic sets and diophantine applications
Raf Cluckers, Jonathan Pila, Alex Wilkie
We prove new parameterization theorems for sets definable in the structure (i.e. for globally subanalytic sets) which are uniform for definable families of such s…
Locally Polynomially Bounded Structures
G. O. Jones, A. J. Wilkie
We prove a theorem which provides a method for constructing points on varieties defined by certain smooth functions. We require that the functions are definable in a definably comp…
First-order definitions in function fields over anti-Mordellic fields
Bjorn Poonen, Florian Pop
A field k is called anti-Mordellic if every smooth curve over k with a k-point has infinitely many k-points. We prove that for a function field over an anti-Mordellic field, the su…