We show that Ribet sections are the only obstruction to the validity of the relative Manin–Mumford conjecture for one-dimensional families of semi-abelian surfaces. Applications include special cases of the Zilber–Pink conjecture for curves in a mixed Shimura variety of dimension 4, as well as the study of polynomial Pell equations with non-separable discriminants
In this paper we extend to arbitrary complex coefficients certain finiteness results on Unlikely int...
In this thesis, we study the Manin and Peyre’s conjectures for several families of algebraic varieti...
The hyperbolicity statements for subvarieties and complement of hypersurfaces in abelian varieties a...
Abstract.- We show that Ribet sections are the only obstruction to the validity of the relative Mani...
In recent papers we proved a special case of a variant of Pink's Conjecture for a variety inside a s...
In recent papers we proved a special case of a variant of Pink’s Conjecture for a variety inside a s...
With an eye or two towards applications to Pell's equation and to Davenport's work on integration of...
This thesis consists of six chapters and two appendices. The first two chapters contain the introduc...
Let S be a smooth irreducible curve defined over a number field k and consider an abelian scheme A o...
We deduce an analogue of the Bogomolov conjecture for non-degenerate subvarieties in fibered product...
In recent papers we proved a special case of a variant of Pink's Conjecture for a variety inside a s...
In this paper we give a short proof of the André-Oort conjecture for products of modular curves unde...
AbstractMumford (Math. Ann. 181 (1969) 345–351) constructs families of abelian varieties which are p...
International audienceWe consider a family, depending on a parameter, of multiplicative extensions o...
Let $S$ be a smooth irreducible curve defined over a number field $k$ and consider an abelian scheme...
In this paper we extend to arbitrary complex coefficients certain finiteness results on Unlikely int...
In this thesis, we study the Manin and Peyre’s conjectures for several families of algebraic varieti...
The hyperbolicity statements for subvarieties and complement of hypersurfaces in abelian varieties a...
Abstract.- We show that Ribet sections are the only obstruction to the validity of the relative Mani...
In recent papers we proved a special case of a variant of Pink's Conjecture for a variety inside a s...
In recent papers we proved a special case of a variant of Pink’s Conjecture for a variety inside a s...
With an eye or two towards applications to Pell's equation and to Davenport's work on integration of...
This thesis consists of six chapters and two appendices. The first two chapters contain the introduc...
Let S be a smooth irreducible curve defined over a number field k and consider an abelian scheme A o...
We deduce an analogue of the Bogomolov conjecture for non-degenerate subvarieties in fibered product...
In recent papers we proved a special case of a variant of Pink's Conjecture for a variety inside a s...
In this paper we give a short proof of the André-Oort conjecture for products of modular curves unde...
AbstractMumford (Math. Ann. 181 (1969) 345–351) constructs families of abelian varieties which are p...
International audienceWe consider a family, depending on a parameter, of multiplicative extensions o...
Let $S$ be a smooth irreducible curve defined over a number field $k$ and consider an abelian scheme...
In this paper we extend to arbitrary complex coefficients certain finiteness results on Unlikely int...
In this thesis, we study the Manin and Peyre’s conjectures for several families of algebraic varieti...
The hyperbolicity statements for subvarieties and complement of hypersurfaces in abelian varieties a...