Monodromie d'une famille d'hypersurfaces
| dc.creator | Otwinowska, Ania | |
| dc.date | 2004-03-09 | |
| dc.date.accessioned | 2026-07-07T05:06:14Z | |
| dc.date.available | 2026-07-07T05:06:14Z | |
| dc.description | I describe the monodromy of smooth hypersurfaces $X$ of high degree in a fixed smooth variety $Y$ containing a fixed subvariety $W$ of $Y$. The cohomology of $X$ in middle degree spanned by the pull-back of the cohomology of $Y$ and by the classes of the irreducible components of $W$ is monodromy invariant. I show that the monodromy representation on the orthogonal of those classes is irreducible. The proof is essentially topological. Difficulties arise from the fact that $W$ may have arbitrary singularities. | |
| dc.description | 29 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/math/0403151 | |
| dc.identifier | http://arxiv.org/abs/math/0403151 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70400 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | General Topology | |
| dc.subject | 14D05, 14D07, 14C30 | |
| dc.title | Monodromie d'une famille d'hypersurfaces | |
| dc.type | text |