On hypersurface singularities which are stems
On Isolated Gorenstein Singularities.
On polar invariants of hypersurface singularities
On p-parameter bifurcation of an n-dimensional function-germ.
On Right-Equivalence.
On simple fibered knots in S5 and the existence of decomposable algebraic 3-knots.
On simple germs with non-isolated singularities.
On the approximate roots of polynomials
We give a simplified approach to the Abhyankar-Moh theory of approximate roots. Our considerations are based on properties of the intersection multiplicity of local curves.
On the bifurcation set of complex polynomial with isolated singularities at infinity
On the dual space of the Tjurina algebra attached to a semi-quasihomogeneous isolated singularity
A dual space of the Tjurina algebra attached to a non-quasihomogeneous unimodal or bimodal singularity is considered. It is shown that almost every algebraic local cohomology class, belonging to the dual space, can be characterized as a solution of a holonomic system of first order differential equations.
On the Gauss-Manin Connection of an Isolated Hypersurface Singularity.
On the Łojasiewicz exponent for analytic curves
An effective formula for the Łojasiewicz exponent for analytic curves in a neighbourhood of 0 ∈ ℂ is given.
On the Łojasiewicz exponent near the fibre of polynomial mappings
We give the formula expressing the Łojasiewicz exponent near the fibre of polynomial mappings in two variables in terms of the Puiseux expansions at infinity of the fibre.
On the Łojasiewicz exponent of the gradient of a holomorphic function
The Łojasiewicz exponent of the gradient of a convergent power series h(X,Y) with complex coefficients is the greatest lower bound of the set of λ > 0 such that the inequality holds near for a certain c > 0. In the paper, we give an estimate of the Łojasiewicz exponent of grad h using information from the Newton diagram of h. We obtain the exact value of the exponent for non-degenerate series.
On the Mixed Hodge Structure on the Cohomology of the Milnor Fibre.
On the Monodromy Theorem for Isolated Hypersurface Singularities.
On the multiplicity of a quasi-homogeneous isolated singularity.
On the Torsion of Brieskorn Modules of Homogeneous Polynomials
On the vanishing of local homotopy groups for isolated singularities of complex spaces.
On vanishing inflection points of plane curves
We study the local behaviour of inflection points of families of plane curves in the projective plane. We develop normal forms and versal deformation concepts for holomorphic function germs which take into account the inflection points of the fibres of . We give a classification of such function- germs which is a projective analog of Arnold’s A,D,E classification. We compute the versal deformation with respect to inflections of Morse function-germs.