AbstractWe count points of fixed degree and bounded height on a linear projective variety defined over a number field k. If the dimension of the variety is large enough compared to the degree we derive asymptotic estimates as the height tends to infinity. This generalizes results of Thunder, Christensen and Gubler and special cases of results of Schmidt and Gao
The problem of this thesis concerns points of small height on affine varieties defined over arbitrar...
A folklore conjecture is that the number $N_d(K,X)$ of degree-$d$ extensions of $K$ with discriminan...
Let k be a number field and S a finite set of places of k containing the archimedean ones. We count ...
We count points of fixed degree and bounded height on a linear projective variety defined over a num...
Abstract. We count algebraic numbers of fixed degree over a fixed algebraic number field. When the h...
In this article we count algebraic points of bounded Weil height with integral coor-dinates, generat...
International audienceWe consider an absolute adelic height on the set of algebraic points of the pr...
Let k be a number field. For H→∞ , we give an asymptotic formula for the number of algebraic integer...
Let k be a number field. For H→∞, we give an asymptotic formula for the number of algebraic integers...
An important problem in analytic and geometric combinatorics is estimating the number of lattice poi...
The study of the distribution of rational or algebraic points of an algebraic variety according to t...
Let K be a number field, Q, or the field of rational functions on a smooth projective curve over a p...
AbstractWe Count the number of solutions with height less than or equal to B to a system of linear e...
We give asymptotics for the number of isomorphism classes of elliptic curves over arbitrary number f...
Let X be a subvariety of Pn defined over a number field and N(B) be the number of rational points of...
The problem of this thesis concerns points of small height on affine varieties defined over arbitrar...
A folklore conjecture is that the number $N_d(K,X)$ of degree-$d$ extensions of $K$ with discriminan...
Let k be a number field and S a finite set of places of k containing the archimedean ones. We count ...
We count points of fixed degree and bounded height on a linear projective variety defined over a num...
Abstract. We count algebraic numbers of fixed degree over a fixed algebraic number field. When the h...
In this article we count algebraic points of bounded Weil height with integral coor-dinates, generat...
International audienceWe consider an absolute adelic height on the set of algebraic points of the pr...
Let k be a number field. For H→∞ , we give an asymptotic formula for the number of algebraic integer...
Let k be a number field. For H→∞, we give an asymptotic formula for the number of algebraic integers...
An important problem in analytic and geometric combinatorics is estimating the number of lattice poi...
The study of the distribution of rational or algebraic points of an algebraic variety according to t...
Let K be a number field, Q, or the field of rational functions on a smooth projective curve over a p...
AbstractWe Count the number of solutions with height less than or equal to B to a system of linear e...
We give asymptotics for the number of isomorphism classes of elliptic curves over arbitrary number f...
Let X be a subvariety of Pn defined over a number field and N(B) be the number of rational points of...
The problem of this thesis concerns points of small height on affine varieties defined over arbitrar...
A folklore conjecture is that the number $N_d(K,X)$ of degree-$d$ extensions of $K$ with discriminan...
Let k be a number field and S a finite set of places of k containing the archimedean ones. We count ...
DOI
Add to ORKG