We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minimal structures admit definable parameterizations by mild maps. We then use this parameterization to prove a result on the density of rational points on curves defined by restricted Pfaffian functions
This paper studies diophantine properties of sets definable in an o-minimal structure over the real ...
This paper studies diophantine properties of sets definable in an o-minimal structure over the real ...
One says that an algebraic variety V defined over a field K has po-tential density of rational point...
We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minim...
This thesis concerns the study of the density of rational and algebraic points in the transcendental...
We prove some instances of Wilkie's conjecture on the density of rational points on sets definable i...
We prove some instances of Wilkie’s conjecture on the density of rational points on sets definable i...
This work stems from an ongoing investigation into the distribution of ra-tional points lying on par...
We prove some simple special cases, partly new, of results of André-Oort-Manin-Mumford type using an...
Let X be the graph in the plane of a pfaffian function f (in the sense of Khovanskii). Suppose X is ...
We provide in this paper an upper bound for the number of rational points on a curve defined over a ...
Let X be the graph in the plane of a pfaffian function f (in the sense of Khovanskii). Suppose X is ...
A curve defined over a finite field is maximal or minimal according to whether the number of rationa...
Gonality of curves means the minimal number among degree of rational functions on the curve. Here we...
Many arithmetic geometric results have an arithmetic dynamic analogue. For instance, Siegel\u27s the...
This paper studies diophantine properties of sets definable in an o-minimal structure over the real ...
This paper studies diophantine properties of sets definable in an o-minimal structure over the real ...
One says that an algebraic variety V defined over a field K has po-tential density of rational point...
We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minim...
This thesis concerns the study of the density of rational and algebraic points in the transcendental...
We prove some instances of Wilkie's conjecture on the density of rational points on sets definable i...
We prove some instances of Wilkie’s conjecture on the density of rational points on sets definable i...
This work stems from an ongoing investigation into the distribution of ra-tional points lying on par...
We prove some simple special cases, partly new, of results of André-Oort-Manin-Mumford type using an...
Let X be the graph in the plane of a pfaffian function f (in the sense of Khovanskii). Suppose X is ...
We provide in this paper an upper bound for the number of rational points on a curve defined over a ...
Let X be the graph in the plane of a pfaffian function f (in the sense of Khovanskii). Suppose X is ...
A curve defined over a finite field is maximal or minimal according to whether the number of rationa...
Gonality of curves means the minimal number among degree of rational functions on the curve. Here we...
Many arithmetic geometric results have an arithmetic dynamic analogue. For instance, Siegel\u27s the...
This paper studies diophantine properties of sets definable in an o-minimal structure over the real ...
This paper studies diophantine properties of sets definable in an o-minimal structure over the real ...
One says that an algebraic variety V defined over a field K has po-tential density of rational point...
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