Milnor Fiber Boundary of a Non-isolated Surface Singularity by András Némethi,Ágnes Szilárd

By András Némethi,Ágnes Szilárd

within the learn of algebraic/analytic forms a key point is the outline of the invariants in their singularities. This ebook goals the demanding non-isolated case. permit f be a fancy analytic hypersurface germ in 3 variables whose 0 set has a 1-dimensional singular locus. We boost an particular technique and set of rules that describe the boundary M of the Milnor fiber of f as an orientated plumbed 3-manifold. this technique additionally offers the attribute polynomial of the algebraic monodromy. We then verify the multiplicity approach of the open booklet decomposition of M lower out by way of the argument of g for any complicated analytic germ g such that the pair (f,g) is an ICIS. additionally, the horizontal and vertical monodromies of the transversal style singularities linked to the singular locus of f and of the ICIS (f,g) also are defined. the speculation is supported by means of a great deal of examples, together with homogeneous and composed singularities and suspensions. The homes extraordinary to M also are emphasized.

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