Semi-simple Carrousels and the Monodromy
| dc.creator | Massey, David B. | |
| dc.date | 2004-10-06 | |
| dc.date.accessioned | 2026-07-07T05:13:01Z | |
| dc.date.available | 2026-07-07T05:13:01Z | |
| dc.description | Let $\Cal U$ be an open neighborhood of the origin in $\Bbb C^{n+1}$ and let $f:(\Cal U, \bold 0)\to(\Bbb C, 0)$ be complex analytic. Let $z_0$ be a generic linear form on $\Bbb C^{n+1}$. If the relative polar curve $Γ^1_{f, z_0}$ at the origin is irreducible and the intersection number $\big(Γ^1_{f, z_0}\cdot V(f))_\bold 0$ is prime, then there are severe restrictions on the possible degree $n$ cohomology of the Milnor fiber at the origin. We also obtain some interesting, weaker, results when $\big(Γ^1_{f, z_0}\cdot V(f))_\bold 0$ is not prime. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0410189 | |
| dc.identifier | http://arxiv.org/abs/math/0410189 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72795 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32B15, 32C35, 32C18, 32B10 | |
| dc.title | Semi-simple Carrousels and the Monodromy | |
| dc.type | text |