We prove that the rational Picard group of the simple Hurwitz spaceHd,g is trivial for d up to five. We also relate the rational Picard groups of the Hurwitz spaces to the rational Picard groups of the Severi varieties of nodal curves on Hirzebruch surfaces
The purpose of this thesis is to study the geometry of some famous stacks of curves by presenting th...
AbstractFor an algebraic curve C/K defined by y2=xp+a (a∉Kp) with relative genus (p−1)/2 and absolut...
In this paper, we provide explicit generators for the Picard groups of cyclic Brauer-Severi varietie...
We show the simple Hurwitz space $\mathcal{H}_{g,d}$ has trivial rational Picard group for $d>g-1$ a...
International audienceFor a smooth complex projective variety, the rank of the Néron-Severi group is...
In this note, we describe the Picard group of the class of compact, smooth, flat, projective varieti...
Let Y be a smooth, projective curve of genus g>=1. Let H^0_{d,A}(Y)be the Hurwitz space which parame...
Abstract. We answer a question of T. Shioda and show that, for any positive integer m prime to 6, th...
International audienceIn this note we provide explicit generators of the Picard groups of cyclic Bra...
We compute the Picard group of the moduli stack of genus zero stable quasimapsto projective space, G...
AbstractWe consider families of complex algebraic surfaces for which we have a good knowledge of the...
ABSTRACT. We consider diagonal cubic surfaces defined by an equation of the form ax3 + by3 + cz3 + d...
In this paper, we extend the well-known theorem of Lopez concerning the Picard group of the general ...
14 pages, comments welcomeInternational audienceWe discuss some aspects of the behavior of specializ...
In a series of works one of the authors has developed with J.-M. Hwang a geometric theory of unirule...
The purpose of this thesis is to study the geometry of some famous stacks of curves by presenting th...
AbstractFor an algebraic curve C/K defined by y2=xp+a (a∉Kp) with relative genus (p−1)/2 and absolut...
In this paper, we provide explicit generators for the Picard groups of cyclic Brauer-Severi varietie...
We show the simple Hurwitz space $\mathcal{H}_{g,d}$ has trivial rational Picard group for $d>g-1$ a...
International audienceFor a smooth complex projective variety, the rank of the Néron-Severi group is...
In this note, we describe the Picard group of the class of compact, smooth, flat, projective varieti...
Let Y be a smooth, projective curve of genus g>=1. Let H^0_{d,A}(Y)be the Hurwitz space which parame...
Abstract. We answer a question of T. Shioda and show that, for any positive integer m prime to 6, th...
International audienceIn this note we provide explicit generators of the Picard groups of cyclic Bra...
We compute the Picard group of the moduli stack of genus zero stable quasimapsto projective space, G...
AbstractWe consider families of complex algebraic surfaces for which we have a good knowledge of the...
ABSTRACT. We consider diagonal cubic surfaces defined by an equation of the form ax3 + by3 + cz3 + d...
In this paper, we extend the well-known theorem of Lopez concerning the Picard group of the general ...
14 pages, comments welcomeInternational audienceWe discuss some aspects of the behavior of specializ...
In a series of works one of the authors has developed with J.-M. Hwang a geometric theory of unirule...
The purpose of this thesis is to study the geometry of some famous stacks of curves by presenting th...
AbstractFor an algebraic curve C/K defined by y2=xp+a (a∉Kp) with relative genus (p−1)/2 and absolut...
In this paper, we provide explicit generators for the Picard groups of cyclic Brauer-Severi varietie...