The zeta function of singularities. (English) Zbl 0778.32011
Let \((X,x)\subset(\mathbb{C}^ n,x)\) be a germ of an analytic space and \(f:(X,x)\to(\mathbb{C},0)\) be an analytic map germ. Using polar curves and a decomposition technique for fibered graph multilinks a new approach is given for the computation of the zeta function of the monodromy of \(f\).
Reviewer: G.Pfister (Berlin)
MSC:
32S40 | Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects) |
32S55 | Milnor fibration; relations with knot theory |
14B05 | Singularities in algebraic geometry |