The boundary of the Milnor fiber for some non-isolated germs of complex surfaces
| dc.creator | Michel, Francoise | |
| dc.creator | Pichon, Anne | |
| dc.creator | Weber, Claude | |
| dc.date | 2006-05-04 | |
| dc.date.accessioned | 2026-07-07T07:13:55Z | |
| dc.date.available | 2026-07-07T07:13:55Z | |
| dc.description | We study the boundary L_t of the Milnor fiber for the non-isolated singularities in C^3 with equation z^m - g(x,y) = 0 where g(x,y) is a non-reduced plane curve germ. We give a complete proof that L_t is a Waldhausen graph manifold and we provide the tools to construct its plumbing graph. As an example, we give the plumbing graph associated to the germs z^2 - (x^2 - y^3)y^l = 0 with l an interger >1. We prove that the boundary of the Milnor fiber is a Waldhausen manifold new in complex geometry, as it cannot be the boundary of a normal surface singularity. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0605123 | |
| dc.identifier | http://arxiv.org/abs/math/0605123 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112660 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 14J17; 32S25;57M25 | |
| dc.title | The boundary of the Milnor fiber for some non-isolated germs of complex surfaces | |
| dc.type | text |