On Moduli of Algebraic Varieties. I.
On representation theory and the cohomology rings of irreducible compact hyperkähler manifolds of complex dimension four
In this paper, we continue the study of the possible cohomology rings of compact complex four dimensional irreducible hyperkähler manifolds. In particular, we prove that in the case b 2=7, b 3=0 or 8. The latter was achieved by the Beauville construction.
On Singular Complex Surfaces with Negative Canonical Bundle, with Applications to Singular Compactifications of C2 and to 3-Dimensional Rational Singularities.
On singular complex surfaces with vanishing geometric genus, and pararational singularities
On Strongly Pseudo-convex Kähler Manifolds.
On Surfaces of Class VII0.
On Surfaces of Class VII0 with Curves.
On the automorphism group of a complex sphere.
On the Chern Numbers of Surfaces of General Type.
On the Compactification of Strongly Pseudoconvex Surfaces III.
On the compactification problem for Stein surfaces
On the Curvature of Compact Hermitian Manifolds.
On the determinant of the bundle of meromorphic quadratic differentials on the Deligne-Mumford compactification of the moduli space of Riemann surfaces.
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 embedding of 1-convex manifolds with 1-dimensional exceptional set
In this paper we show that a 1-convex (i.e., strongly pseudoconvex) manifold , with 1- dimensional exceptional set and finitely generated second homology group , is embeddable in if and only if is Kähler, and this case occurs only when does not contain any effective curve which is a boundary.
On the Geometry of Moduli Spaces.
On the Kähler Rank of Compact Complex Surfaces
Harvey and Lawson introduced the Kähler rank and computed it in connection to the cone of positive exact currents of bidimension for many classes of compact complex surfaces. In this paper we extend these computations to the only further known class of surfaces not considered by them, that of Kato surfaces. Our main tool is the reduction to the dynamics of associated holomorphic contractions .
On the Kählerian geometry of 1-convex threefolds.
On the logarithmic plurigenera of algebraic surfaces