Moduli spaces of covers and the Hurwitz monodromy group.
Modulprobleme in der algebraischen Geometrie II
Multiple fibres of a morphism.
Nonflat deformations of modules and isolated singularities.
Non-smoothable varieties.
Normal degenerations of the complex projective plane.
Normalization theorems for certain modular discriminantal loci
Obstructions to deforming curves on a -fold, II: Deformations of degenerate curves on a del Pezzo -fold
We study the Hilbert scheme of smooth connected curves on a smooth del Pezzo -fold . We prove that any degenerate curve , i.e. any curve contained in a smooth hyperplane section of , does not deform to a non-degenerate curve if the following two conditions are satisfied: (i) and (ii) for every line on such that , the normal bundle is trivial (i.e. ). As a consequence, we prove an analogue (for ) of a conjecture of J. O. Kleppe, which is concerned with non-reduced components...
On a Result of Riemenschneider.
On base change theorem and coherence in rigid cohomology.
On Border Basis and Gröbner Basis Schemes.
On Deformations of Quintic Surfaces.
On Deformations of Threedimensional Rational Manifolds.
On Elliptic Surfaces in Characteristic p.
On Families of Birationally Equivalent Varieties.
On joint moduli spaces.
On limiting rational curves.
On moduli of algebraic varieties III. Fine moduli spaces
On Pencils of Curves and Deformations of Minimally Elliptic Singularities .
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...