Discriminants of convex curves are homeomorphic
| dc.creator | Shapiro, B. | |
| dc.date | 1996-08-26 | |
| dc.date.accessioned | 2026-07-07T09:12:50Z | |
| dc.date.available | 2026-07-07T09:12:50Z | |
| dc.description | For a given real generic curve $\ga: S^1\to \Bbb {RP}^n$ let $D_\ga$ denote the ruled hypersurface in $\Bbb {RP}^n$ consisting of all osculating subspaces to $\ga$ of codimension 2. A curve $\ga: S^1\to \Bbb {RP}^n$ is called convex if the total number of its intersection points (counted with multiplicities) with any hyperplane in $\Bbb {RP}^n$ does not exceed $n$. In this short note we show that for any two convex real projective curves $\ga_1:S^1\to\Bbb {RP}^n$ and $\ga_2:S^1\to\Bbb {RP}^n$ the pairs $(\Bbb {RP}^n,D_{\ga_1})$ and $(\Bbb {RP}^n,D_{\ga_2})$ are homeomorphic answering a question posed by V.Arnold. | |
| dc.description | The usual AMSTeX file, 7 pages, no figures AMSTeX | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9608007 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9608007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152159 | |
| dc.subject | Differential Geometry | |
| dc.subject | 14H50 (Primary) | |
| dc.title | Discriminants of convex curves are homeomorphic | |
| dc.type | text |