Add to ORKGWe 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
We propose a conjecture on the density of arithmetic points in thedeformation space of representatio...
Let $S$ be a del Pezzo surface of degree $1$ over a number field $k$. The main goal of this talk is ...
Abstract. Gizatullin surfaces completed by a standard zigzag of type [[0, 0, -r₂, -r₃]] can be descr...
We prove some instances of Wilkie’s conjecture on the density of rational points on sets definable i...
We study the distribution of rational points on a certain exponential-algebraic surface and we prove...
This thesis concerns the study of the density of rational and algebraic points in the transcendental...
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...
We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minim...
Let F(x) =F[x1,...,xn]∈ℤ[x1,...,xn] be a non-singular form of degree d≥2, and let N(F, X)=#{xεℤ n ;F...
NF (P) = N(P) = #{x ∈ ZZ4: F (x) = 0, |x | ≤ P}, where |x | is the Euclidean length of x. This p...
: Soit E→P1 une surface elliptique sur Q de base P1 non triviale. On s’intéresse à la Zariski-densit...
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 ...
Let $K\subseteq \mathbb{R}$ be a number field. Using techniques of discrete analysis, we prove that ...
We propose a conjecture on the density of arithmetic points in thedeformation space of representatio...
Let $S$ be a del Pezzo surface of degree $1$ over a number field $k$. The main goal of this talk is ...
Abstract. Gizatullin surfaces completed by a standard zigzag of type [[0, 0, -r₂, -r₃]] can be descr...
We prove some instances of Wilkie’s conjecture on the density of rational points on sets definable i...
We study the distribution of rational points on a certain exponential-algebraic surface and we prove...
This thesis concerns the study of the density of rational and algebraic points in the transcendental...
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...
We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minim...
Let F(x) =F[x1,...,xn]∈ℤ[x1,...,xn] be a non-singular form of degree d≥2, and let N(F, X)=#{xεℤ n ;F...
NF (P) = N(P) = #{x ∈ ZZ4: F (x) = 0, |x | ≤ P}, where |x | is the Euclidean length of x. This p...
: Soit E→P1 une surface elliptique sur Q de base P1 non triviale. On s’intéresse à la Zariski-densit...
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 ...
Let $K\subseteq \mathbb{R}$ be a number field. Using techniques of discrete analysis, we prove that ...
We propose a conjecture on the density of arithmetic points in thedeformation space of representatio...
Let $S$ be a del Pezzo surface of degree $1$ over a number field $k$. The main goal of this talk is ...
Abstract. Gizatullin surfaces completed by a standard zigzag of type [[0, 0, -r₂, -r₃]] can be descr...