Smooth structures on algebraic surfaces with finite fundamental group.
Some Algebraicity Criteria for Singular Surfaces.
Stein surfaces associated to intermediate Kato surfaces. (Surfaces de Stein associées aux surfaces de Kato intermédiaires.)
Structure des surfaces de Kato
Structure of a neighbourhood of a complex compact submanifold in a complex manifold [Book]
Structures affines et projectives sur les surfaces complexes
Une structure complexe affine (resp. projective) sur une surface complexe est la donnée d’un atlas de cartes à valeur dans (resp. ) à changements de cartes localement constants dans le groupe affine (resp. le groupe ). Dans cet article nous classifions les surfaces complexes affines et calculons, à surface complexe fixée, l’espace de déformation des structures complexes affines sur compatibles avec sa structure analytique. Nous montrons aussi que toute structure projective sur une surface...
Supersingular surfaces
Sur la classification de germes d'applications holomorphes contractantes.
Sur la monodromie des singularités isolées d'hypersurfaces complexes
Sur la simplification par les tores complexes.
Sur l'existence des fibrés vectoriels holomorphes sur les surfaces non-algébriques.
Sur une minoration du degré d'hypersurfaces s'annulant en certains points.
Surfaces
Surfaces réglées non compactes et groupes discrets.
Symplectic involutions on deformations of K3[2]
Let X be a hyperkähler manifold deformation equivalent to the Hilbert square of a K3 surface and let φ be an involution preserving the symplectic form. We prove that the fixed locus of φ consists of 28 isolated points and one K3 surface, and moreover that the anti-invariant lattice of the induced involution on H 2(X, ℤ) is isomorphic to E 8(−2). Finally we show that any couple consisting of one such manifold and a symplectic involution on it can be deformed into a couple consisting of the Hilbert...
The moduli and the global period mapping of surfaces with : a counterexample to the global Torelli problem
The Picard group of a primary Kodaira surface.
The Shafarevich-Tate Conjecture for Pencils of Elliptic Curves on K3 Surfaces.
The Soliton-Ricci Flow with variable volume forms
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the Soliton-Ricci flow. It corresponds to a forward Ricci type flow up to a gauge transformation. This gauge is generated by the gradient of the density of the volumes. The new Soliton-Ricci flow exist for all times. It represents the gradient flow of...
The Torelli map at the boundary of the Schottky space.