On 2-Dimensional Cousin I-Spaces.
On Grauert's conjecture and the characterization of Moishezon spaces.
On Higher Order Weierstrass Points of the Universal Curve.
On holomorphic vector bundles on Hopf manifolds with trivial pullback on the universal covering.
On n class of capacities on complex manifolds endowed with an hermitian structure and their relation to elliptic and hyperbolic quasiconformal mappings [Book]
On quasi-free Hilbert modules.
On the cohomology of sheaves SεL
On the cohomology of twistor flag spaces
On the degree of the Gauss mapping of a submanifold of an Abelian variety.
On the global lifting of meromorphic forms.
On the Kobayashi and Caratheodory pseudometric reductions of homogeneous complex spaces
On vector fields in C3 without a separatrix.
A family of germs at 0 of holomorphic vector fields in C3 without separatrices is constructed, with the aid of the blown-up foliation F in the blown-up manifold C3. We impose conditions on the multiplicity and the linear part of F at its singular points (i.e., non-semisimplicity and certain nonresonancy), which are sufficient for the original vector field to be separatrix-free.
Optimal destabilizing vectors in some Gauge theoretical moduli problems
We prove that the well-known Harder-Narsimhan filtration theory for bundles over a complex curve and the theory of optimal destabilizing -parameter subgroups are the same thing when considered in the gauge theoretical framework.Indeed, the classical concepts of the GIT theory are still effective in this context and the Harder-Narasimhan filtration can be viewed as a limit object for the action of the gauge group, in the direction of an optimal destabilizing vector. This vector appears as an extremal...
Orbifold principal bundles on an elliptic fibration and parabolic principal bundles on a Riemann surface (II).
In [6], orbifold G-bundles on a certain class of elliptic fibrations over a smooth complex projective curve X were related to parabolic G-bundles over X. In this continuation of [6] we define and investigate holomorphic connections on an orbifold G-bundle over an elliptic fibration.