The objective of this thesis is to understand F. Campana's conjectures about density of integral points on varieties defined over a number field. They aim to characterize potential density and mordellicity. Moreover, F. Campana was able to construct a fibration that conjecturally splits the potentially dense and the mordellic parts of any variety
For a smooth, projective family of homogeneous varieties defined over a number field, we show that i...
Let $X^o=\mathbb P^3\setminus D$ where $D$ is the union of two quadrics such that their intersection...
In the present paper we solve, in particular, the function field version of a special case of Vojta'...
The objective of this thesis is to understand F.Campana’s conjectures about density of integral poin...
One says that an algebraic variety V defined over a field K has po-tential density of rational point...
The Vojta’s conjecture establishes geometrical conditions on the degeneracy of the set of S-integra...
We initiate a systematic quantitative study of subsets of rational points that are integral with res...
We initiate a systematic quantitative study of subsets of rational points that are integral with res...
We initiate a systematic quantitative study of subsets of rational points that are integral with res...
We initiate a systematic quantitative study of subsets of rational points that are integral with res...
This book is intended to be an introduction to Diophantine geometry. The central theme of the book i...
This book is intended to be an introduction to Diophantine geometry. The central theme of the book i...
The Vojta’s conjecture establishes geometrical conditions on the degeneracy of the set of S-integra...
Let K be a number eld, S a nite set of valuations of K, including the archimedean valuations, and O ...
Let\ua0X\ua0⊂ ℙn\ua0be a projective geometrically integral variety over of dimension\ua0r\ua0and deg...
For a smooth, projective family of homogeneous varieties defined over a number field, we show that i...
Let $X^o=\mathbb P^3\setminus D$ where $D$ is the union of two quadrics such that their intersection...
In the present paper we solve, in particular, the function field version of a special case of Vojta'...
The objective of this thesis is to understand F.Campana’s conjectures about density of integral poin...
One says that an algebraic variety V defined over a field K has po-tential density of rational point...
The Vojta’s conjecture establishes geometrical conditions on the degeneracy of the set of S-integra...
We initiate a systematic quantitative study of subsets of rational points that are integral with res...
We initiate a systematic quantitative study of subsets of rational points that are integral with res...
We initiate a systematic quantitative study of subsets of rational points that are integral with res...
We initiate a systematic quantitative study of subsets of rational points that are integral with res...
This book is intended to be an introduction to Diophantine geometry. The central theme of the book i...
This book is intended to be an introduction to Diophantine geometry. The central theme of the book i...
The Vojta’s conjecture establishes geometrical conditions on the degeneracy of the set of S-integra...
Let K be a number eld, S a nite set of valuations of K, including the archimedean valuations, and O ...
Let\ua0X\ua0⊂ ℙn\ua0be a projective geometrically integral variety over of dimension\ua0r\ua0and deg...
For a smooth, projective family of homogeneous varieties defined over a number field, we show that i...
Let $X^o=\mathbb P^3\setminus D$ where $D$ is the union of two quadrics such that their intersection...
In the present paper we solve, in particular, the function field version of a special case of Vojta'...