A reformulation of Le's conjecture (Q855783)

The author deals with the following conjecture of Lê: ``If the link of a reduced surface germ \((S,0) \subset (\mathbb{C}^3,0)\) is homeomorphic to a sphere then \(S\) is isomorphic to the total space of an equisingular deformation of an irreducible plane curve singularity.'' First he gives a new and elementary proof of the Lê's conjecture for surfaces \((S,0)\) containing a smooth curve through the origin. Next basing on the above he shows that the Lê's problem can be reformulated in terms of plane curve singularities and their polar curves.