Fibered Multilinks and singularities $f \bar g$
| dc.creator | Pichon, Anne | |
| dc.creator | Seade, José | |
| dc.date | 2005-05-15 | |
| dc.date.accessioned | 2026-07-07T05:19:55Z | |
| dc.date.available | 2026-07-07T05:19:55Z | |
| dc.description | In this article we extend Milnor's fibration theorem for complex singularities to the case of singularities $f \bar g:(X,P) \to (C,0))$ defined on a complex analytic singularity germ $(X,P)$, with $f, g$ holomorphic and $f \bar g$ having an isolated critical value at $0 \in C$. This can also be regarded as a result for meromorphic germs. Then we strenghten this fibration theorem when $X$ has complex dimension 2, obtaining a fibration theorem for multilinks that extends previous work by Pichon. We prove that the multilink $L_{f \bar g}$ in $L_X$ (the link of $X$), is fibred iff the map $f \bar g$ has an isolated critical value at $0 \in C$, and in this case the map $\frac{f \bar g}{|f \bar g|}$ defined on $L_X \setminus L_{f \bar g}$ is a multilink fibration.We also give a combinatorial criterium, easy to verify, to decide when is $L_{f \bar g}$ a fibred multilink. We finally prove a realization theorem for fibred multilinks. | |
| dc.identifier | https://arxiv.org/abs/math/0505312 | |
| dc.identifier | http://arxiv.org/abs/math/0505312 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75200 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 32S55, 57C45, 57A25 | |
| dc.title | Fibered Multilinks and singularities $f \bar g$ | |
| dc.type | text |