Milnor Fiber Boundary of a Non-isolated Surface Singularity
Némethi, András, Szilárd, Ágnes
Produktnummer:
186d72b921694248c3b83cfa4f198362bd
| Autor: | Némethi, András Szilárd, Ágnes |
|---|---|
| Themengebiete: | 32Sxx, 14J17, 14B05, 14P15, 57M27 monodromy non-isolated singularity plumbed 3-manifolds resolution graphs |
| Veröffentlichungsdatum: | 06.01.2012 |
| EAN: | 9783642236464 |
| Sprache: | Englisch |
| Seitenzahl: | 240 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
Produktinformationen "Milnor Fiber Boundary of a Non-isolated Surface Singularity"
In the study of algebraic/analytic varieties a key aspect is the description of the invariants of their singularities. This book targets the challenging non-isolated case. Let f be a complex analytic hypersurface germ in three variables whose zero set has a 1-dimensional singular locus. We develop an explicit procedure and algorithm that describe the boundary M of the Milnor fiber of f as an oriented plumbed 3-manifold. This method also provides the characteristic polynomial of the algebraic monodromy. We then determine the multiplicity system of the open book decomposition of M cut out by the argument of g for any complex analytic germ g such that the pair (f,g) is an ICIS. Moreover, the horizontal and vertical monodromies of the transversal type singularities associated with the singular locus of f and of the ICIS (f,g) are also described. The theory is supported by a substantial amount of examples, including homogeneous and composed singularities and suspensions. The properties peculiar to M are also emphasized.
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