On limiting rational curves.
On Moduli of Algebraic Varieties. I.
On moduli of algebraic varieties II
On moduli of algebraic varieties III. Fine moduli spaces
On moduli of -bundles of a curve for exceptional
On moduli spaces of semistable sheaves on Enriques surfaces
We describe some one-dimensional moduli spaces of rank 2 Gieseker semistable sheaves on an Enriques surface improving earlier results of H. Kim. In the case of a nodal Enriques surface the moduli spaces obtained are reducible for general polarizations. For unnodal Enriques surfaces we show how to reduce the study of moduli spaces of high even rank Gieseker semistable sheaves to low ranks. To prove this we use the method of K. Yoshioka who showed that in the odd rank case, one can reduce to rank...
On Newstaed' s conjecture on vector bundles on algebraic curves.
On One-Parameter Family of Affine Planes.
On Pencils of Curves and Deformations of Minimally Elliptic Singularities .
On Picard bundles over Prym varieties.
On Postulation of Curves in IP4.
On projective degenerations of Veronese spaces
Here we give several examples of projective degenerations of subvarieties of . The more important case considered here is the d-ple Veronese embedding of ; we will show how to degenerate it to the union of n-dimensional linear subspaces of and the union of scrolls. Other cases considered in this paper are essentially projective bundles over important varieties. The key tool for the degenerations is a general method due to Moishezon. We will give elsewhere several applications to postulation...
On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
On the arithmetic of genus two fibrations
On the Brill-Noether theory for K3 surfaces
Let (S, H) be a polarized K3 surface. We define Brill-Noether filtration on moduli spaces of vector bundles on S. Assume that (c 1(E), H) > 0 for a sheaf E in the moduli space. We give a formula for the expected dimension of the Brill-Noether subschemes. Following the classical theory for curves, we give a notion of Brill-Noether generic K3 surfaces. Studying correspondences between moduli spaces of coherent sheaves of different ranks on S, we prove our main theorem: polarized K3 surface which...
On the Cohomology Groups of Moduli Spaces of Vector Bundles on Curves.
On the components of moduli of simple sheaves on a surface.
On the de Rham-Witt complex attached to a semi-stable family
On the deformation of orthogonal bundles over the projective line.
On the deformation theory of structure constants for associative algebras.