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 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 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 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
On the spectral sequence fo r the -cohomology of a holomorpkic bundle with Stein fibres
Si esamina la successione spettrale per la -coomologia dello spazio totale di un fibrato olomorfo nel caso in cui le fibre siano varietà di Stein.
On Uniform Vector Bundles.