Milnor Fiber Boundary of a Non-isolated Surface Singularity
| Author/creator | Némethi, András Author |
| Other author | Szilárd,Ágnes Author |
| Format | Electronic |
| Publication Info | New York : Springer |
| Description | xii, 240 p. ill 23.500 x 015.500 cm. |
| Supplemental Content | Full text available from Springer Books |
| Supplemental Content | Full text available from SpringerLINK Lecture Notes in Mathematics Contemporary (1997-present) |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2012 English International |
| Subjects |
| Series | Lecture Notes in Mathematics Ser. |
| Summary | Annotation 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. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| ISBN | 9783642236464 |
| ISBN | 3642236464 (Trade Paper) Active Record |
| Standard identifier# | 9783642236464 |
| Stock number | 3642236464 00024965 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |