Generic simple coverings of the affine plane
Generic Zariski surfaces
Groupes de Galois de corps de type fini
Il y a quelques années, Florian Pop a démontré que tout corps de type fini sur le corps premier est déterminé à isomorphisme près par son groupe de Galois absolu (quitte à passer à une extension purement inséparable en caractéristique positive). Ce théorème, dont la généalogie remonte à des travaux de Neukirch sur les groupes de Galois de corps de nombres au début des années 1970, répond positivement à la “conjecture anabélienne birationnelle”de A. Grothendieck formulée en 1983. Dans un travail...
Hitchin' s self-duality equations on complete Riemannian manifolds.
Incollamento di punti chiusi e gruppo fondamentale algebrico e topologico
Invariants of a quadratic form attached to a tame covering of schemes
We build on preceeding work of Serre, Esnault-Kahn-Viehweg and Kahn to establish a relation between invariants, in modulo 2 étale cohomology, attached to a tamely ramified covering of schemes with odd ramification indices. The first type of invariant is constructed using a natural quadratic form obtained from the covering. In the case of an extension of Dedekind domains, mains, this form is the square root of the inverse different equipped with the trace form. In the case of a covering of Riemann...
La caractéristiqe d'Euler du complexe de Gauss-Manin.
Lamé operators with projective octahedral and icosahedral monodromies
Le groupe fondamental du complément d'une courbe plane n'ayant que des points doubles ordinaires est abélien
Local characterization of algebraic manifolds and characterization of components of the set
We show that every n-dimensional smooth algebraic variety X can be covered by Zariski open subsets which are isomorphic to closed smooth hypersurfaces in . As an application we show that forevery (pure) n-1-dimensional ℂ-uniruled variety there is a generically-finite (even quasi-finite) polynomial mapping such that . This gives (together with [3]) a full characterization of irreducible components of the set for generically-finite polynomial mappings .
Modèles minimaux des courbes de genre deux.
Moduli spaces of covers and the Hurwitz monodromy group.
On a covering group theorem and its applications.
On Almost Homogeneous Compact Complex Analytic Surfaces.
On Analytic Abelian Coverings.
On Brauer groups of real Enriques surfaces.
On coverings of simple abelian varieties
To any finite covering of degree between smooth complex projective manifolds, one associates a vector bundle of rank on whose total space contains . It is known that is ample when is a projective space ([Lazarsfeld 1980]), a Grassmannian ([Manivel 1997]), or a Lagrangian Grassmannian ([Kim Maniel 1999]). We show an analogous result when is a simple abelian variety and does not factor through any nontrivial isogeny . This result is obtained by showing that is -regular in the...
On deformation of maximally degenerate stable marked curves and Oda's problem.
On Deformations and the Local Torelli Problem of Cyclic Branched Coverings.
On Eriques Surface as a Fourfold Cover of P2*