Geometry and algebra of real forms of complex curves
| dc.creator | Natanzon, S. M. | |
| dc.date | 1999-11-04 | |
| dc.date.accessioned | 2026-07-07T05:31:26Z | |
| dc.date.available | 2026-07-07T05:31:26Z | |
| dc.description | Let Y be a complex algebraic curve and let [Y]={X_1,...,X_n} be the set of all real algebraic curves X_i with complexification X_i(C)=Y, such that the real points X_i(R) divide X_i(C). We find all such families [Y]. According to Harnak theorem a number |X_i| of connected components of X_i(R) satifies by the inequality |X_i|<= g+1, where g is the genus of Y. We prove that SUM |X_i| <= 2g-(n-9) 2^{n-3}-2 <= 2g+30 and these estimates are exact. | |
| dc.description | 19 pages, AmsTex | |
| dc.identifier | https://arxiv.org/abs/math/9911028 | |
| dc.identifier | http://arxiv.org/abs/math/9911028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79345 | |
| dc.subject | Complex Variables | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.title | Geometry and algebra of real forms of complex curves | |
| dc.type | text |