The fundamental group for the complement of Cayley's singularities.
The Fundamental Group of the Complement of an Algebraic Curve.
The geometric genus of hypersurface singularities
Using the path lattice cohomology we provide a conceptual topological characterization of the geometric genus for certain complex normal surface singularities with rational homology sphere links, which is uniformly valid for all superisolated and Newton non-degenerate hypersurface singularities.
The Geometry of Representations of Am .
The graded Lie algebra of a Kähler group.
The Hilbert scheme of space curves of small diameter
This paper studies space curves of degree and arithmetic genus , with homogeneous ideal and Rao module , whose main results deal with curves which satisfy (e.g. of diameter, ). For such curves we find necessary and sufficient conditions for unobstructedness, and we compute the dimension of the Hilbert scheme, , at under the sufficient conditions. In the diameter one case, the necessary and sufficient conditions coincide, and the unobstructedness of turns out to be equivalent to the...
The homology groups of the links of quasi-ordinary singularities.
The infinitesimal M. Noether theorem for singularities
The jump of the Milnor number in the X 9 singularity class
The jump of the Milnor number of an isolated singularity f 0 is the minimal non-zero difference between the Milnor numbers of f 0 and one of its deformations (f s). We prove that for the singularities in the X 9 singularity class their jumps are equal to 2.
The -deformation complex of diagrams of algebras.
The Le varieties, II.
The Łojasiewicz gradient inequality in a neighbourhood of the fibre
Some estimates of the Łojasiewicz gradient exponent at infinity near any fibre of a polynomial in two variables are given. An important point in the proofs is a new Charzyński-Kozłowski-Smale estimate of critical values of a polynomial in one variable.
The Maximal Number of Quotient Singularities on Surfaces with Given Numerical Invariants.
The Milnor Number and Deformations of Complex Curve Singularities.
The Monodromy of a Degenerating Family of Curves.
The monodromy of a series of hypersurface singularities.
The Monodromy of Weighted Homogeneous Singularities
The Nash problem of arcs and the rational double points
This paper deals with the Nash problem, which consists in comparing the number of families of arcs on a singular germ of surface with the number of essential components of the exceptional divisor in the minimal resolution of this singularity. We prove their equality in the case of the rational double points ().
The Picard group of the canonical resolution of a 3-dimensional simple singularity
The Semigroup of a Singular Point of a Curve with Two Equisingular Branches.