The paper proves new results on the irreducibility of fibers of a cover of an algebraic group, above a cyclic subgroup. This provides entirely new versions of Hilbert Irreducibility, settling in particular a conjecture of Pisot. Also, a Bertini Theorem for covers of multiplicative tori is deduced. The methods are completely different from previously used ones
Hilbert's irreducibility theorem plays an important role in inverse Galois theory. In this article w...
pi → X ′ f → Y be a covering of smooth, projective complex curves such that pi is a degree 2 étale c...
International audienceAbstract We establish a version “over the ring” of the celebrated Hilbert Irre...
We study abstract algebra and Hilbert's Irreducibility Theorem. We give an exposition of Galois theo...
In this paper we link the so-called Hilbert property (HP) for an algebraic variety (over a number fi...
We introduce a novel approach to Bertini irreducibility theorems over an arbitrary field, based on r...
In its simplest form, the statement of Hilbert's irreducibility theorem says that for an irreducible...
This paper proves several results. First, there is an irreducibility theorem for the lifting of tors...
Abstract. We obtain new results on the geometry of Hilbert modular varieties in positive characteris...
AbstractLet Y be a smooth, projective complex curve of genus g ⩾ 1. Let d be an integer ⩾ 3, let e =...
SIGLEAvailable from TIB Hannover: RR 1606(98-15) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - ...
International audienceWe introduce and study a semigroup structure on the set of irreducible compone...
This dissertation is concerned with the study of irreducible embeddings of simple algebraic groups o...
The purpose of this paper is to give a partially expository account of results re-lated to coverings...
We prove that if $G$ is an abelian group and $H_1x_1,\dots,H_{k}x_k$ is an irredundant (minimal) cov...
Hilbert's irreducibility theorem plays an important role in inverse Galois theory. In this article w...
pi → X ′ f → Y be a covering of smooth, projective complex curves such that pi is a degree 2 étale c...
International audienceAbstract We establish a version “over the ring” of the celebrated Hilbert Irre...
We study abstract algebra and Hilbert's Irreducibility Theorem. We give an exposition of Galois theo...
In this paper we link the so-called Hilbert property (HP) for an algebraic variety (over a number fi...
We introduce a novel approach to Bertini irreducibility theorems over an arbitrary field, based on r...
In its simplest form, the statement of Hilbert's irreducibility theorem says that for an irreducible...
This paper proves several results. First, there is an irreducibility theorem for the lifting of tors...
Abstract. We obtain new results on the geometry of Hilbert modular varieties in positive characteris...
AbstractLet Y be a smooth, projective complex curve of genus g ⩾ 1. Let d be an integer ⩾ 3, let e =...
SIGLEAvailable from TIB Hannover: RR 1606(98-15) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - ...
International audienceWe introduce and study a semigroup structure on the set of irreducible compone...
This dissertation is concerned with the study of irreducible embeddings of simple algebraic groups o...
The purpose of this paper is to give a partially expository account of results re-lated to coverings...
We prove that if $G$ is an abelian group and $H_1x_1,\dots,H_{k}x_k$ is an irredundant (minimal) cov...
Hilbert's irreducibility theorem plays an important role in inverse Galois theory. In this article w...
pi → X ′ f → Y be a covering of smooth, projective complex curves such that pi is a degree 2 étale c...
International audienceAbstract We establish a version “over the ring” of the celebrated Hilbert Irre...