For a smooth, projective family of homogeneous varieties defined over a number field, we show that if potential density holds for the rational points of the base, then it also holds for the total space. A conjecture of Campana and Peternell, known in dimension at most 4 and for certain higher dimensional cases, would then imply potential density for the rational points of smooth projective varieties over number fields whose tangent bundle is nef
In this article, we construct a $\theta$-density for the global sections of ample Hermitian line bun...
In this paper, we study syzygies of rational homogeneous varieties. We extend Manivel's result that ...
Let $K$ be the function field of a smooth projective geometrically integral curve over a finite exte...
One says that an algebraic variety V defined over a field K has po-tential density of rational point...
In 1991 Campana and Petemell proposed, as a natural algebro-geometric extension of Mori’s character...
In 1991 Campana and Petemell proposed, as a natural algebro-geometric extension of Mori’s character...
Abstract We verify a conjecture of Manin about the distribution of rational points of bounded height...
A long-standing question in the theory of rational points of algebraic surfaces is whether a K3 surf...
Let $X^o=\mathbb P^3\setminus D$ where $D$ is the union of two quadrics such that their intersection...
The objective of this thesis is to understand F. Campana's conjectures about density of integral poi...
In this note, we give an alternative proof of uniform boundedness of the number of integral points o...
The objective of this thesis is to understand F.Campana’s conjectures about density of integral poin...
This thesis is concerned with establishing Manin's conjecture on the distribution of ratinal points ...
Abstract. By studying the theory of rational curves, we introduce a notion of rational simple connec...
The Vojta’s conjecture establishes geometrical conditions on the degeneracy of the set of S-integra...
In this article, we construct a $\theta$-density for the global sections of ample Hermitian line bun...
In this paper, we study syzygies of rational homogeneous varieties. We extend Manivel's result that ...
Let $K$ be the function field of a smooth projective geometrically integral curve over a finite exte...
One says that an algebraic variety V defined over a field K has po-tential density of rational point...
In 1991 Campana and Petemell proposed, as a natural algebro-geometric extension of Mori’s character...
In 1991 Campana and Petemell proposed, as a natural algebro-geometric extension of Mori’s character...
Abstract We verify a conjecture of Manin about the distribution of rational points of bounded height...
A long-standing question in the theory of rational points of algebraic surfaces is whether a K3 surf...
Let $X^o=\mathbb P^3\setminus D$ where $D$ is the union of two quadrics such that their intersection...
The objective of this thesis is to understand F. Campana's conjectures about density of integral poi...
In this note, we give an alternative proof of uniform boundedness of the number of integral points o...
The objective of this thesis is to understand F.Campana’s conjectures about density of integral poin...
This thesis is concerned with establishing Manin's conjecture on the distribution of ratinal points ...
Abstract. By studying the theory of rational curves, we introduce a notion of rational simple connec...
The Vojta’s conjecture establishes geometrical conditions on the degeneracy of the set of S-integra...
In this article, we construct a $\theta$-density for the global sections of ample Hermitian line bun...
In this paper, we study syzygies of rational homogeneous varieties. We extend Manivel's result that ...
Let $K$ be the function field of a smooth projective geometrically integral curve over a finite exte...