On a covering group theorem and its applications.
On Almost Homogeneous Compact Complex Analytic Surfaces.
On Analytic Abelian Coverings.
On Brauer groups of real Enriques surfaces.
On coverings of simple abelian varieties
To any finite covering of degree between smooth complex projective manifolds, one associates a vector bundle of rank on whose total space contains . It is known that is ample when is a projective space ([Lazarsfeld 1980]), a Grassmannian ([Manivel 1997]), or a Lagrangian Grassmannian ([Kim Maniel 1999]). We show an analogous result when is a simple abelian variety and does not factor through any nontrivial isogeny . This result is obtained by showing that is -regular in the...
On deformation of maximally degenerate stable marked curves and Oda's problem.
On Deformations and the Local Torelli Problem of Cyclic Branched Coverings.
On Eriques Surface as a Fourfold Cover of P2*
On extensions of number fields obtained by specializing branched coverings.
On galois automorphisms of the fundamental group of the projective line minus three points.
On Galois covers of Hirzebruch surfaces.
On Galois module structure of the cohomology groups of an algebraic variety.
On ramified covers of the projective plane II: Generalizing Segre’s theory
The classical Segre theory gives a necessary and sufficient condition for a plane curve to be a branch curve of a (generic) projection of a smooth surface in . We generalize this result for smooth surfaces in a projective space of any dimension in the following way: given two plane curves, and , we give a necessary and sufficient condition for to be the branch curve of a surface in and to be the image of the double curve of a -model of . In the classical Segre theory, a plane curve...
On the Fundamental Group of a Unirational 3-Fold.
On the homotopy of the complement to plane algebraic curves.
On the intrinsic geometry of a unit vector field
We study the geometrical properties of a unit vector field on a Riemannian 2-manifold, considering the field as a local imbedding of the manifold into its tangent sphere bundle with the Sasaki metric. For the case of constant curvature , we give a description of the totally geodesic unit vector fields for and and prove a non-existence result for . We also found a family of vector fields on the hyperbolic 2-plane of curvature which generate foliations on with leaves of constant intrinsic...
On the period map for abelian covers of projective varieties
On the Ramification of Branched Coverings of IPn.
On the torsion free cover of the -module k
On the universal coverings of algebraic surfaces