On improper isolated intersection in complex analytic geometry
On Isolated Gorenstein Singularities.
On local invariants of totally real surfaces.
On meromorphic functions defined by a differential system of order
Given a germ of holomorphic function on , we study the condition: “the ideal is generated by operators of order1”. We obtain here full characterizations in the particular cases of Koszul-free germs and unreduced germs of plane curves. Moreover, we prove that this condition holds for a special type of hyperplane arrangements. These results allow us to link this condition to the comparison of de Rham complexes associated with .
On negative weight derivations of the moduli algebras of weighted homogeneous hypersurface singularities.
On normal stratified pseudomanifolds.
On Plurigenera of Normal Isolated Singularities. I.
On polar invariants of hypersurface singularities
On p-parameter bifurcation of an n-dimensional function-germ.
On Rational Singularities in Dimensions 2.
On Right-Equivalence.
On second order Thom-Boardman singularities
We derive closed formulas for the Thom polynomials of two families of second order Thom-Boardman singularities . The formulas are given as linear combinations of Schur polynomials, and all coefficients are nonnegative.
On simple fibered knots in S5 and the existence of decomposable algebraic 3-knots.
On simple germs with non-isolated singularities.
On singular complex surfaces with vanishing geometric genus, and pararational singularities
On Smoothable Curve Singularities: Local Methods.
On special values for pencils of plane curve singularities.
On splitting up singularities of fundamental solutions to elliptic equations in ℂ2
It is known that the fundamental solution to an elliptic differential equation with analytic coefficients exists, is determined up to the kernel of the differential operator, and has singularities on characteristics of the equation in ℂ2. In this paper we construct a representation of fundamental solution as a sum of functions, each of those has singularity on a single characteristic.
On Strict Levi q-Convexity and q-Concavity on Domains with Piecewise Smooth Boundaries.
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.