On multi-Rees algebras. With an Appenddix by Ngô Viêt Trung.
On negative weight derivations of the moduli algebras of weighted homogeneous hypersurface singularities.
On One-Parameter Family of Affine Planes.
On Plurigenera of Normal Isolated Singularities. I.
On polar invariants of hypersurface singularities
On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
On simple fibered knots in S5 and the existence of decomposable algebraic 3-knots.
On singularities arising from the contraction of the minimal section a a ruled surface.
On Singularities of Smooth Maps to a Space with a Fixed Cone.
On Steenbrink's conjecture.
On the Adjunction Mapping for Singular Projective Varieties.
On the adjunction process over a surface in char. p II: the singular case.
On the approximation property of excellent rings.
On the arithmetical rank of a special class of minimal varieties.
On the Bifurcation Variety of Some Non-Isolated Singularities.
On the Burkhardt quartic.
On the conflict variety of an isolated hypersurface singularity.
On the de Rham cohomology of algebraic varieties
On the discriminant of the Artin component
On the genus of reducible surfaces and degenerations of surfaces
We deal with a reducible projective surface with so-called Zappatic singularities, which are a generalization of normal crossings. First we compute the -genus of , i.e. the dimension of the vector space of global sections of the dualizing sheaf . Then we prove that, when is smoothable, i.e. when is the central fibre of a flat family parametrized by a disc, with smooth general fibre, then the -genus of the fibres of is constant.