On the Belyi Functions of Planar Circular Maps
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2499-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2499-x | ||
| 245 | 0 | 0 | |a On the Belyi Functions of Planar Circular Maps |h [Elektronische Daten] |c [M. Deryagina, A. Mednykh] |
| 520 | 3 | |a A map (S,G) is a closed Riemann surface S with an embedded graph G such that S \ G amounts to the disjoint union of connected components, called faces, each of which is homeomorphic to an open disk. The purpose of this article is to demonstrate a method of finding a Belyi function for planar circular maps and a way to plot a planar circular map by its Belyi function. Also we present a list of planar circular maps having no more than five edges, their Belyi functions, and their plots. We remark that the Belyi function for a planar circular map with E edges obtained with the help of our method is a rational function of degree E. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Deryagina |D M. |u Plekhanov Russian University of Economics, Moscow, Russia |4 aut | |
| 700 | 1 | |a Mednykh |D A. |u Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/2(2015-08-01), 237-257 |x 1072-3374 |q 209:2<237 |1 2015 |2 209 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2499-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2499-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Deryagina |D M. |u Plekhanov Russian University of Economics, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Mednykh |D A. |u Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/2(2015-08-01), 237-257 |x 1072-3374 |q 209:2<237 |1 2015 |2 209 |o 10958 | ||