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
The stability of certain classes of uni-ruled varieties
The tame automorphism group of an affine quadric threefold acting on a square complex
We study the group of tame automorphisms of a smooth affine -dimensional quadric, which we can view as the underlying variety of . We construct a square complex on which the group admits a natural cocompact action, and we prove that the complex is and hyperbolic. We propose two applications of this construction: We show that any finite subgroup in is linearizable, and that satisfies the Tits alternative.
The Tangent Bundle of a Ruled Surface.
The Tate conjecture for ordinary K3 surfaces over finite fields.
The topology of a moduli space for linear dynamical systems.
The topology of rational points.
The trisecant conjecture.
The two faces of the twisted Kummer surface
The Two Most Algebraic K3 Surfaces.