Artin-Gruppen und Coxeter-Gruppen.
Automorphismen und Modularraum Galoisscher dreiblättriger Überlagerungen.
Bemerkungen zur Deformationstheorie nichtrationaler Singularitäten.
Bending deformations of complex hyperbolic surfaces.
Bildgarben und Fasercohomologie für relativ analytische Räume.
Billards rationnels et espaces de Teichmüller
Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves
We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ 0,1. The cases of other elliptic curves are either the same or trivial. Two proofs depending on elliptic functions’ special properties and Abelian differentials’ Taylor expansions are discussed, respectively. For a holomorphic family of hyperelliptic nodal or cuspidal curves...
Brieskorn Complete Intersections and Automorphic Forms.
Calcul du nombre de cusps dans la déformation semi-universelle d'une singularité isolée d'hypersurface complexe
Characterization of the complex projective space by holomorphic vector fields.
Chern forms and the Riemann tensor for the moduli space ofcurves.
Classe fondamentale relative en cohomologie de Deligne et application.
Classification of Isolated Hypersurface Singularities by Their Moduli Algebras.
Classification of singular germs of mappings and deformations of compact surfaces of class VII₀
We classify generic germs of contracting holomorphic mappings which factorize through blowing-ups, under the relation of conjugation by invertible germs of mappings. As for Hopf surfaces, this is the key to the study of compact complex surfaces with and which contain a global spherical shell. We study automorphisms and deformations and we show that these generic surfaces are endowed with a holomorphic foliation which is unique and stable under any deformation.
Cobordism Obstructions to Deforming Isolated Singularities.
Cohomologie de De Rham et cohomologie étale -adique
Cohomologie de dolbeault le long des feuilles de certains feuilletages complexes
La cohomologie de Dolbeault feuilletée mesure l’obstruction à résoudre le problème de Cauchy-Riemann le long des feuilles d’un feuilletage complexe. En utilisant des méthodes de cohomologie des groupes, nous calculons cette cohomologie pour deux classes de feuilletages : i) le feuilletage complexe affine de Reeb de dimension (complexe) 2 sur la variété de Hopf de dimension 5 ; ii) les feuilletages complexes sur le tore hyperbolique (fibration en tores de dimension n au-dessus d’un cercle et de monodromie...
Cohomologie quantique
Cohomology of Compact Hyperkähler Manifolds and its Applications.
Compact moduli spaces of stable sheaves over non-algebraic surfaces.