Quasi-ordinary surface germs from the topological viewpoint
In the article we give a self-contained new proof that a normal quasi-ordinary surface germ is analytically isomorphic to a cyclic quotient surface germ.
math.AG↗
arXiv subjects
Françoise Michel
Publications and source records attributed to Françoise Michel.
The topology of the normalization of complex surface germs
If (X,0) is a complex surface germ with a non-isolated singular locus we describe its singular link L of (X,0) and we show that the topology of L determines the topology of the normalization.
math.AG↗
Carrousel in family and non-isolated hypersurface singularities in $C^3$
We study the boundary $L_t$ of the Milnor fiber for the reduced holomorphic germs $f:(\Bbb C^3,0) \rightarrow (\Bbb C,0)$ having a non-isolated singularity at $0$. We prove that $L_t$ is a graph manifold by using a new technique of carrousel depending on one parameter varying on a circle. Our results enable one to compare the topology of $L_t$ and of the link of the normalization of $f^{-1}(0)$.
math.AG↗