Add to ORKGIn this paper we define Harbater-Mumford subvarieties, which are special kinds of closed subvarieties of Hurwitz moduli spaces obtained by fixing some of the branch points. We show that, for many finite groups, finding geomet- rically irreducible HM-subvarieties defined over Q is always possible. This provides information on the arithmetic of Hurwitz spaces and applies in particular to the regular inverse Galois problem with (almost all) fixed branch points. Profinite versions of our results can also be stated, providing new tools to study the geometry of Modular Towers and the regular inverse Galois problem for profinite groups
We consider families of cyclic covers of P-1, where we fix the covering group and the local monodrom...
Hodge classes on the moduli space of admissible covers with monodromy group G are associated to irr...
Let $A$ be a semiabelian variety over an algebraically closed field of arbitrary characteristic, end...
In this paper we explain how an arithmetical invariant for G- cover - we call the base invariant - p...
Le contexte de cette thèse est le problème inverse de la théorie de Galois et en particulier son app...
Hurwitz moduli spaces for G-covers of the pro jective line have two classical variants whether G- co...
Le contexte de cette thèse est le problème inverse de la théorie de Galois et en particulier son app...
International audienceWe introduce and study a semigroup structure on the set of irreducible compone...
AbstractWe solve the Hurwitz monodromy problem for degree 4 covers. That is, the Hurwitz space H4,g ...
Abstract. The Hurwitz space approach to the regular Inverse Galois Problem was the only successful a...
This work is based on the link between the field of moduli of a cover and Hurwitz spaces. Given a co...
In attempting to solve the regular inverse Galois problem for arbitrary subfields K of C (particular...
We consider the moduli space $\mathfrak{M}_{g,n}$ of Riemann surfaces of genus $g\ge0$ with $n\ge1$ ...
The first topic of this dissertation is the moduli space of curves. I define half-spin relations, sp...
Hurwitz spaces are spaces of pairs S, f where S is a Riemann surface and f: S → ̂C a meromorphic fu...
We consider families of cyclic covers of P-1, where we fix the covering group and the local monodrom...
Hodge classes on the moduli space of admissible covers with monodromy group G are associated to irr...
Let $A$ be a semiabelian variety over an algebraically closed field of arbitrary characteristic, end...
In this paper we explain how an arithmetical invariant for G- cover - we call the base invariant - p...
Le contexte de cette thèse est le problème inverse de la théorie de Galois et en particulier son app...
Hurwitz moduli spaces for G-covers of the pro jective line have two classical variants whether G- co...
Le contexte de cette thèse est le problème inverse de la théorie de Galois et en particulier son app...
International audienceWe introduce and study a semigroup structure on the set of irreducible compone...
AbstractWe solve the Hurwitz monodromy problem for degree 4 covers. That is, the Hurwitz space H4,g ...
Abstract. The Hurwitz space approach to the regular Inverse Galois Problem was the only successful a...
This work is based on the link between the field of moduli of a cover and Hurwitz spaces. Given a co...
In attempting to solve the regular inverse Galois problem for arbitrary subfields K of C (particular...
We consider the moduli space $\mathfrak{M}_{g,n}$ of Riemann surfaces of genus $g\ge0$ with $n\ge1$ ...
The first topic of this dissertation is the moduli space of curves. I define half-spin relations, sp...
Hurwitz spaces are spaces of pairs S, f where S is a Riemann surface and f: S → ̂C a meromorphic fu...
We consider families of cyclic covers of P-1, where we fix the covering group and the local monodrom...
Hodge classes on the moduli space of admissible covers with monodromy group G are associated to irr...
Let $A$ be a semiabelian variety over an algebraically closed field of arbitrary characteristic, end...