Milnor fibrations of meromorphic functions (2009)
Bodin, Arnaud, Pichon, Anne, Seade, José
In analogy with the holomorphic case, we compare the topology of Milnor fibrations associated to a meromorphic germ f / g: the local Milnor fibrations given on Milnor tubes over punctured discs...
Milnor fibrations of meromorphic functions (2008)
Bodin, Arnaud, Pichon, Anne, Seade, Jose
In analogy with the holomorphic case, we compare the topology of Milnor fibrations associated to a meromorphic germ f/g : the local Milnor fibrations given on Milnor tubes over punctured discs around...
Complex analytic realization of links (2006)
Neumann, Walter D., Pichon, Anne
We present the complex analytic and principal complex analytic realizability of a link in a 3-manifold $M$ as a tool for understanding the complex structures on the cone $C(M)$.
The boundary of the Milnor fiber for some non-isolated germs of complex surfaces (2006)
Michel, Francoise, Pichon, Anne, Weber, Claude
We study the boundary L_t of the Milnor fiber for the non-isolated singularities in C^3 with equation z^m - g(x,y) = 0 where g(x,y) is a non-reduced plane curve germ. We give a complete proof that...
The boundary of the Milnor fiber of Hirzebruch surface singularities (2005)
Michel, F., Pichon, Anne, Weber, C.
We give the first (as far as we know) complete description of the boundary of the Milnor fiber for some non-isolated singular germs of surfaces in ${\bf C}^3$. We study irreducible (i.e. $gcd (m,k,l)...
Meromorphic functions, bifurcation sets and fibred links (2005)
We give a necessary condition for a meromorphic function in several variables to give rise to a Milnor fibration of the local link (respectively of the link at infinity). In the case of two variables...
Fibered Multilinks and singularities $f \bar g$ (2005)
In this article we extend Milnor's fibration theorem for complex singularities to the case of singularities $f \bar g:(X,P) \to (C,0))$ defined on a complex analytic singularity germ $(X,P)$, with...
On the boundary of the Milnor fibre of nonisolated singularities (2003)
Michel, Françoise, Pichon, Anne
We announce several results on the topology of the holomorphic germs f : (ℂ3,0) → (ℂ,0) which have a 1-dimensional critical locus: the boundary of the Milnor fibre of f admits a...