By András Némethi

Within the learn of algebraic/analytic kinds a key point is the outline of the invariants in their singularities. This ebook ambitions the demanding non-isolated case. enable f be a fancy analytic hypersurface germ in 3 variables whose 0 set has a 1-dimensional singular locus. We boost an specific approach and set of rules that describe the boundary M of the Milnor fiber off as an orientated plumbed 3-manifold. this technique additionally offers the attribute polynomial of the algebraic monodromy. We then make sure the multiplicity procedure of the open ebook decomposition of M lower out via the argument of g for any advanced analytic germ g such that the pair (f,g) is an I.C.I.S. . in addition, the horizontal and vertical monodromies of the transversal sort singularities linked to the singular locus of f and of the I.C.I.S. (f,g) also are defined. the speculation is supported through quite a lot of examples, together with homogeneous and composed singularities and suspensions. The houses abnormal to M also are emphasised.

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