Compactifications kähleriennes de voisinages ouverts de cycles géométriquement positifs
Compactifications of the period space of Enriques surfaces.
Compactifications of the period space of Enriques surfaces. II.
Complex algebraic curves with real moduli.
Complex analytic construction of the Kuranishi Family on a normal strongly pseudo convex manifold with real dimension 5.
Complex analytic geometry of complex parallelizable manifolds
Complex geometry of the universal Teichmüller space.
Conformal blocks and cohomology in genus 0
We give a characterization of conformal blocks in terms of the singular cohomology of suitable smooth projective varieties, in genus for classical Lie algebras and .
Connected components of the strata of the moduli spaces of quadratic differentials
In two fundamental classical papers, Masur [14] and Veech [21] have independently proved that the Teichmüller geodesic flow acts ergodically on each connected component of each stratum of the moduli space of quadratic differentials. It is therefore interesting to have a classification of the ergodic components. Veech has proved that these strata are not necessarily connected. In a recent work [8], Kontsevich and Zorich have completely classified the components in the particular case where the quadratic...
Contact geometry and CR-structures on spheres
A normal form for small CR-deformations of the standard CR-structure on the (2n+1)-sphere is presented. The space of normal forms is parameterized by a single function on the sphere. For n>1, the normal form is used to obtain explicit embeddings into . For n=1, the cohomological obstruction to embeddability is identified.
Coordinates for Teichmüller spaces of -groups with torsion.
Correction to the paper "Moduli spaces of covers and the Hurwitz monodromy group".
Courbes de semi-groupe donné.
CR mappings and their holomorphic extension
Cross ratios, Anosov representations and the energy functional on Teichmüller space
We study two classes of linear representations of a surface group: Hitchin and maximal symplectic representations. We relate them to cross ratios and thus deduce that they are displacing which means that their translation lengths are roughly controlled by the translations lengths on the Cayley graph. As a consequence, we show that the mapping class group acts properly on the space of representations and that the energy functional associated to such a representation is proper. This implies the existence...
Cross ratios, surface groups, and diffeomorphisms of the circle
This article relates representations of surface groups to cross ratios. We first identify a connected component of the space of representations into PSL(n,ℝ) – known as the n-Hitchin component– to a subset of the set of cross ratios on the boundary at infinity of the group. Similarly, we study some representations into associated to cross ratios and exhibit a “character variety” of these representations. We show that this character variety contains alln-Hitchin components as well as the set of...
Curvature properties of the Calabi-Yau moduli.
Cyclic Coverings: Deformation and Torelli Theorem.
Darstellbarkeitskriterien für analytische Funktoren
Das formale Prinzip und Modifikationen komplexer Räume.