First steps towards total reality of meromorphic functions
| dc.creator | Ekedahl, T. | |
| dc.creator | Shapiro, B. | |
| dc.creator | Shapiro, M. | |
| dc.date | 2006-05-02 | |
| dc.date.accessioned | 2026-07-07T07:13:52Z | |
| dc.date.available | 2026-07-07T07:13:52Z | |
| dc.description | It was earlier conjectured by the second and the third authors that any rational curve $g:{\mathbb C}P^1\to {\mathbb C}P^n$ such that the inverse images of all its flattening points lie on the real line ${\mathbb R}P^1\subset {\mathbb C}P^1$ is real algebraic up to a linear fractional transformation of the image ${\mathbb C}P^n$. (By a flattening point $p$ on $g$ we mean a point at which the Frenet $n$-frame $(g',g'',...,g^{(n)})$ is degenerate.) Below we extend this conjecture to the case of meromorphic functions on real algebraic curves of higher genera and settle it for meromorphic functions of degrees $2,3$ and several other cases. | |
| dc.description | 10 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0605075 | |
| dc.identifier | http://arxiv.org/abs/math/0605075 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112636 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14P05 | |
| dc.title | First steps towards total reality of meromorphic functions | |
| dc.type | text |