arXiv:math/0312416v2 [math.AG] 16 Oct 2004 Page 1 arXiv:math/0312416v2 [math.AG] 16 Oct
2004 LINKS AND ANALYTIC INVARIANTS OF SUPERISOLATED SINGULARITIES I …

In this paper we give a complete answer to a question posed by Dimca and Greuel about the
quotient of the Milnor and Tjurina numbers of a plane curve singularity. We put this question …

Using the path lattice cohomology we provide a conceptual topological characterization of
the geometric genus for certain complex normal surface singularities with rational homology …

Suppose that C is a connected configuration of two-dimensional symplectic submanifolds in
a symplectic 4-manifold with negative definite intersection graph \Gamma_C. Let (S,0) be a …

This brief survey of some singularity invariants related to Milnor fibers should serve as a
quick guide to references. We attempt to place things into a wide geometric context while …

R.–En 1978 Durfee a conjecturé plusieurs inégalités entre la signature et le genre
géométrique pg d'une singularité normale de surface. Depuis, quelques contre-exemples …

In the last 35 years or so a lot of effort was devoted to and great success achieved in the
study of the singularities of an analytic function germ f:(ℂ n+ 1, 0)'(ℂ, 0). Indeed, when f …

We address the conjecture of Durfee (Math Ann 232: 85–98, 1978), bounding the singularity
genus p_g by a multiple of the Milnor number μ for an n-dimensional isolated complete …

In this survey, we review part of the theory of superisolated surface. singularities (SIS) and its
applications including some new and recent developments. The class of SIS singularities is …

In a previous work we have introduced and studied a special kind of toric resolution, the so-
called embedded Q-resolution, which essentially consists in allowing the final ambient …