On the index of a vector field at an isolated singularity
| dc.creator | Ebeling, Wolfgang | |
| dc.creator | Gusein-Zade, Sabir M. | |
| dc.date | 1997-10-07 | |
| dc.date | 1998-03-12 | |
| dc.date.accessioned | 2026-07-07T01:51:10Z | |
| dc.date.available | 2026-07-07T01:51:10Z | |
| dc.description | We consider manifolds with isolated singularities, i.e., topological spaces which are manifolds (say, $C^\infty$--) outside discrete subsets (sets of singular points). For (germs of) manifolds with, so called, cone--like singularities, a notion of the index of an isolated singular point of a vector field is introduced. There is given a formula for the index of a gradient vector field on a (real) isolated complete intersection singularity. The formula is in terms of signatures of certain quadratic forms on the corresponding spaces of thimbles. | |
| dc.description | AMS-LaTeX, 11 p. with 1 fig.; remarks, definition, and references added to Section 1 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9710008 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9710008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the index of a vector field at an isolated singularity | |
| dc.type | text |