A characterization of non-hyperelliptic Jacobi varieties.
A Class of Compact Complex Manifolds with Negative Tangent Bundles.
A class of non-algebraic threefolds
Let be a compact complex nonsingular surface without curves, and a holomorphic vector bundle of rank 2 on . It turns out that the associated projective bundle has no divisors if and only if is “strongly” irreducible. Using the results concerning irreducible bundles of [Banica-Le Potier, J. Crelle, 378 (1987), 1-31] and [Elencwajg- Forster, Annales Inst. Fourier, 32-4 (1982), 25-51] we give a proof of existence for bundles which are strongly irreducible.
A Geometric Study of the Monodromy of Complex Analytic Surfaces.
A Nakai-Moishezon criterion for non-Kähler surfaces
A version of the classical Nakai-Moishezon criterion is proved for all compact complex surfaces, regardless of the parity of the first Betti number.
A Note on Compactifications of C2 .
A Simple Proof of the Subjectivity of the Period Map of K3 Surfaces.
A Strong Rigidity Theorem for a Certain Class of Compact Complex Analytic Surfaces.
Algebraic Structures on Certain 3-Folds.
Algebraic Surfaces of General Type with Small c... . III.
Algebraic Surfaces of General Type with Small ... . II.
Algebraic Surfaces of General Type With Small ... . IV.
Applications of the Kähler-Einstein-Calabi-Yau Metric to Moduli of K3 Surfaces.
Bounds of Riesz Transforms on Spaces for Second Order Elliptic Operators
Let -div be a second order elliptic operator with real, symmetric, bounded measurable coefficients on or on a bounded Lipschitz domain subject to Dirichlet boundary condition. For any fixed , a necessary and sufficient condition is obtained for the boundedness of the Riesz transform on the space. As an application, for , we establish the boundedness of Riesz transforms on Lipschitz domains for operators with coefficients. The range of is sharp. The closely related boundedness of ...
Canonical models of surfaces of general type
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.
Colmatage de surfaces holomorphes et classification des surfaces compactes
On considère le problème du colmatage en dimension 2, où l’on examine sous quelle condition une hypersurface strictement pseudoconvexe dans une surface holomorphe est le bord d’un espace de Stein. On montre que l’exemple de Rossi d’une hypersurface strictement pseudoconvexe , qui est le bord de deux domaines non relativement compacts, n’est jamais le bord d’un espace de Stein bien que les fonctions holomorphes définies dans un voisinage de donnent des cartes locales. On démontre que dans une...
Compact complex threefolds of class L associated to polynomial automorphisms of C3.
We construct new families of non-Kähler compact complex threefolds belonging to Kato's Class L. The construction uses certain polynomial automorphisms of C3. We also study basic properties of our manifolds.
Compact Differentiable 4-Folds with Quaternionic Structures.
Compact Differentiable 4-Folds with Quaternionic Structures (Erratum).