On connected divisors.
On deformation of maximally degenerate stable marked curves and Oda's problem.
On desingularized Horrocks-Mumford quintics.
On direct and inverse images of D-Modules in prime characteristic.
On Donaldson polynomials of rational ruled surfaces.
On Extremal Rational Elliptic Surfaces.
On families of pure slope -functions.
On fundamental groups of algebraic varieties and value distribution theory
If a smooth projective variety admits a non-degenerate holomorphic map from the complex plane , then for any finite dimensional linear representation of the fundamental group of the image of this representation is almost abelian. This supports a conjecture proposed by F. Campana, published in this journal in 2004.
On Galois module structure of the cohomology groups of an algebraic variety.
On generalized Cauchy-Riemann equations on manifolds
On generation of jets for vector bundles.
We introduce and study the k-jet ampleness and the k-jet spannedness for a vector bundle, E, on a projective manifold. We obtain different characterizations of projective space in terms of such positivity properties for E. We compare the 1-jet ampleness with different notions of very ampleness in the literature.
On glueing curves on surfaces and zero cycles
The structure of the group of a surface with prescribed singularities is investigated.
On graded Bett numbers and geometrical properties of projective varieties.
On Harder-Narashimhan stratification over Quot schemes.
On homology classes represented by real algebraic varieties
On irreducible components of a Weierstrass-type variety
We give a characterization of the irreducible components of a Weierstrass-type (W-type) analytic (resp. algebraic, Nash) variety in terms of the orbits of a Galois group associated in a natural way to this variety. Since every irreducible variety of pure dimension is (locally) a component of a W-type variety, this description may be applied to any such variety.
On -very ampleness of tensor products of ample line bundles on abelian surfaces
On K-spanned embeddings of projectiv manifolds.
On l-adic sheaves on Shimura varieties and their higher direct images in the Baily-Borel compactification.
On l-independence of algebraic monodromy groups in compatible systems of representations.