The present article aims to discuss the graded roots introduced by the author in his study of
the topology of normal surface singularities. In the body of the paper we emphasize two …

In 2002, L. Nicolaescu and the fourth author formulated a very general conjecture which
relates the geometric genus of a Gorenstein surface singularity with rational homology …

We show a counterexample to a conjecture of de Bobadilla, Luengo, Melle-Hern\'{a} ndez
and N\'{e} methi on rational cuspidal projective plane curves. The counterexample is a …

Let C be an irreducible projective plane curve in the complex projective space ℙ2. The
classification of such curves, up to the action of the automorphism group PGL (3, ℂ) on ℙ2, is …

A relation is proved between the Poincaré series of the coordinate algebra of a two-
dimensional quasihomogeneous isolated hypersurface singularity and the characteristic …

We verify the conjecture formulated in [36] for suspension singularities of type g (x, y, z)= f (x,
y)+ zn, where f is an irreducible plane curve singularity. More precisely, we prove that the …

Abstract We compute the Heegaard–Floer homology of S^3_1(K) (the (+ 1) surgery on the
torus knot T p, q) in terms of the semigroup generated by p and q, and we find a compact …

We give two formulae which express the Alexander polynomial $\Delta^ C $ of several
variables of a plane curve singularity $ C $ in terms of the ring ${\cal O} _ {C} $ of germs of …

Let $(X, x) $ be an isolated complete intersection singularity and let $ f:(X, x)\to (\CC, 0) $ be
the germ of an analytic function with an isolated singularity at $ x $. An important topological …

We give a formula connecting the Saito duals of the reduced zeta functions of the
monodromies of defining equations of a quasihomogeneous complete intersection, the …