Exposants polaires et résolution des surfaces. (Polar exponents and resolution of surfaces) (Q1820278)

Let f: (V,0)\(\to ({\mathbb{C}},0)\) be a holomorphic germ defined on a germ (V,0) of a normal surface. The author describes the topology of the manifold with boundary \(M_{\epsilon,\eta}=K_{\epsilon}-f^{- 1}(D_{\eta})\) where \(K_{\epsilon}\) is the intersection of (V,0) assumed to be embedded in \(({\mathbb{C}}^ N,0)\), with the sphere of radius \(\epsilon\) with \(0<\epsilon \ll 1\) and where \(D_{\eta}=\{z\in {\mathbb{C}}| | z| <\eta \}\) with \(0<\eta \ll \epsilon\).