Variation of Hodge Structure: The Singularities of the Period Mapping.
Variation of mixed Hodge structure. I.
Variational Torelli implies generic Torelli.
Variétés complexes compactes : une généralisation de la construction de Meersseman et López de Medrano-Verjovsky
Nous construisons de nouvelles variétés complexes compactes comme espaces d’orbites d’actions linéaires de , généralisant en cela les constructions de Meersseman. Nous donnons également certaines propriétés de ces variétés.
Vector bundles on blown-up Hopf surfaces
We show that certain moduli spaces of vector bundles over blown-up primary Hopf surfaces admit no compact components. These are the moduli spaces used by Andrei Teleman in his work on the classification of class VII surfaces.
Vector bundles on manifolds without divisors and a theorem on deformations
We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.
Vector bundles on non-Kaehler elliptic principal bundles
We study relatively semi-stable vector bundles and their moduli on non-Kähler principal elliptic bundles over compact complex manifolds of arbitrary dimension. The main technical tools used are the twisted Fourier-Mukai transform and a spectral cover construction. For the important example of such principal bundles, the numerical invariants of a 3-dimensional non-Kähler elliptic principal bundle over a primary Kodaira surface are computed.
Vector fields and foliations on compact surfaces of class
It is well-known that minimal compact complex surfaces with containing global spherical shells are in the class VII of Kodaira. In fact, there are no other known examples. In this paper we prove that all surfaces with global spherical shells admit a singular holomorphic foliation. The existence of a numerically anticanonical divisor is a necessary condition for the existence of a global holomorphic vector field. Conversely, given the existence of a numerically anticanonical divisor, surfaces...
Vektorraumbündel in der Nähe von kompakten komplexen Unterräumen.
Version kählérienne d'une conjecture de Robert J. Zimmer