| 书目名称 | Milnor Fiber Boundary of a Non-isolated Surface Singularity |
| 编辑 | András Némethi,Ágnes Szilárd |
| 视频video | |
| 概述 | Presents a new approach in the study of non-isolated hypersurface singularities.The first book about non-isolated hypersurface singularities.Conceptual and comprehensive description of invariants of n |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2012 |
| 关键词 | 32Sxx, 14J17, 14B05, 14P15, 57M27; monodromy; non-isolated singularity; plumbed 3-manifolds; resolution |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-23647-1 |
| isbn_softcover | 978-3-642-23646-4 |
| isbn_ebook | 978-3-642-23647-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2012 |
发表于 2025-3-21 20:00:57
