The number of reducible hypersurfaces in a pencil.
The number of reducible hypersurfaces in a pencil (Erratum).
The Number of the Minimal Models for a 3- Fold of General Type is Finite.
The Number of Twisted Cubic Curves on the General Quintic Threefold.
The number of vertices of a Fano polytope
Let be a Gorenstein, -factorial, toric Fano variety. We prove two conjectures on the maximal Picard number of in terms of its dimension and its pseudo-index, and characterize the boundary cases. Equivalently, we determine the maximal number of vertices of a simplicial reflexive polytope.
The Picard group of a primary Kodaira surface.
The Picard group of Siegel modular threefolds.
The plurigenera of Gorenstein surface singularities.
The principal degenerations of abelian surfaces and their polarisations.
The rationality of some moduli spaces of plane curves
The rationality of the moduli space of Enriques surfaces
The real Seifert form and the spectral pairs of isolated hypersurface singularities
The role of the Ellingsrud-Strømme construction in the classification of instantons
We review a construction of Ellingsrud-Strømme relating instantons of charge n on the ordinary projective space and theta-characteristics on a plane curve of degree n with some extra-structure.
The second Brauer-Thrall conjecture for isolated singularities of excellent hypersurfaces.
The set of points at which a polynomial map is not proper
We describe the set of points over which a dominant polynomial map is not a local analytic covering. We show that this set is either empty or it is a uniruled hypersurface of degree bounded by .
The Shafarevich-Tate Conjecture for Pencils of Elliptic Curves on K3 Surfaces.
The Signature of Smoothings of Complex Surface Singularities.
The smooth surfaces on cubic hypersurface in P... with isolated singularities.
The Smoothing Components of a Triangle Singularity. II.
The solubility of diagonal cubic surfaces