On algebraic curves.
On Bănică sheaves and Fano manifolds
On Clifford's theorem for rank-3 bundles.
In this paper we obtain bounds on h0(E) where E is a semistable bundle of rank 3 over a smooth irreducible projective curve X of genus g ≥ 2 defined over an algebraically closed field of characteristic 0. These bounds are expressed in terms of the degrees of stability s1(E), s2(E). We show also that in some cases the bounds are best possible. These results extend recent work of J. Cilleruelo and I. Sols for bundles of rank 2.
On generalized Cauchy-Riemann equations on manifolds
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 localization in holomorphic equivariant cohomology
We study a holomorphic equivariant cohomology built out of the Atiyah algebroid of an equivariant holomorphic vector bundle and prove a related localization formula. This encompasses various residue formulas in complex geometry, in particular we shall show that it contains as special cases Carrell-Liebermann’s and Feng-Ma’s residue formulas, and Baum-Bott’s formula for the zeroes of a meromorphic vector field.
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 birational gonalities of smooth curves
Let C be a smooth curve of genus g. For each positive integer r the birational r-gonality sr(C) of C is the minimal integer t such that there is L ∈ Pict(C) with h0(C,L) = r + 1. Fix an integer r ≥ 3. In this paper we prove the existence of an integer gr such that for every integer g ≥ gr there is a smooth curve C of genus g with sr+1(C)/(r + 1) > sr(C)/r, i.e. in the sequence of all birational gonalities of C at least one of the slope inequalities fails
On the boundary value problem for the elliptic system of linear differential equations
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 embedding and compactification of -complete manifolds
We characterize intrinsically two classes of manifolds that can be properly embedded into spaces of the form . The first theorem is a compactification theorem for pseudoconcave manifolds that can be realized as where is a projective variety. The second theorem is an embedding theorem for holomorphically convex manifolds into .
On the embedding of 1-convex manifolds with 1-dimensional exceptional sets.
On the extension of continuous linear maps in function spaces and the splitness of Dolbeaut complexes of holomorphic Banach bundles
On the global lifting of meromorphic forms.
On the homology groups of -complete spaces