On the Highest Weight Deformation of a Quasihomogeneous Surface Singularity.
On the irreducible components of characteristic varieties.
On the Kuranishi family of deformations of complex structures over a tubular neighborhood of a strongly pseudo convex boundary with complex dimension 3.
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 Milnor fibrations of weighted homogeneous polynomials
On the Mixed Hodge Structure on the Cohomology of the Milnor Fibre.
On the moderate growth of generalized Dirichlet series for hypoelliptic polynomials
On the monodromy at infinity of a polynomial map
On the monodromy of curve singularities.
On the Monodromy Theorem for Isolated Hypersurface Singularities.
On the motivic measure on the space of functions.
On the multiplicity of a quasi-homogeneous isolated singularity.
On the Ozsváth-Szabó invariant of negative definite plumbed 3-manifolds.
On the real secondary classes of transversely holomorphic foliations
In this paper we study the real secondary classes of transversely holomorphic foliations. We define a homomorphism from the space of the real secondary classes to the space of the complex secondary classes that corresponds to forgetting the transverse holomorphic structure. By using this homomorphism we show, for example, the decomposition of the Godbillon-Vey class into the imaginary part of the Bott class and the first Chern class of the complex normal bundle of the foliation. We show also...
On the string-theoretic Euler numbers of 3-dimensional -- singularities.
On the structure of Brieskorn lattice
We study the structure of the filtered Gauss-Manin system associated to a holomorphic function with an isolated singularity, and get a basis of the Brieskorn lattice over such that the action of is expressed byfor two matrices with semi-simple, where is the basis. As an application, we calculate the -function of in the case of two variables.
On the topological triviality along moduli of deformations of singularities
It is well known that versal deformations of nonsimple singularities depend on moduli. However they can be topologically trivial along some or all of them. The first step in the investigation of this phenomenon is to determine the versal discriminant (unstable locus), which roughly speaking is the obstacle to analytic triviality. The next one is to construct continuous liftable vector fields smooth far from the versal discriminant and to integrate them. In this paper we extend the results of J....
On the topology of holomorphic foliations on Hopf manifolds