Intersection Cohomology, Monodromy, and the Milnor Fiber
| dc.creator | Massey, David B. | |
| dc.date | 2004-04-18 | |
| dc.date | 2005-01-17 | |
| dc.date.accessioned | 2026-07-07T05:07:31Z | |
| dc.date.available | 2026-07-07T05:07:31Z | |
| dc.description | We say that a complex analytic space, $X$, is an intersection cohomology manifold if and only if the shifted constant sheaf on $X$ is isomorphic to intersection cohomology; this is quickly seen to be equivalent to $X$ being a homology manifold. Given an analytic function $f$ on an intersection cohomology manifold, we describe a simple relation between $V(f)$ being an intersection cohomology manifold and the vanishing cycle Milnor monodromy of $f$. We then describe how the Sebastiani-Thom isomorphism allows us to easily produce intersection cohomology manifolds with arbitrary singular sets. Finally, as an easy application, we obtain restrictions on the cohomology of the Milnor fiber of a hypersurface with a special type of one-dimensional critical locus. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404312 | |
| dc.identifier | http://arxiv.org/abs/math/0404312 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70885 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32B15, 32C35, 32C18, 32B10 | |
| dc.title | Intersection Cohomology, Monodromy, and the Milnor Fiber | |
| dc.type | text |