Haeringen, Tim, van (2020) The Representation of Hyperelliptic Surfaces by Admissible Polygons. Master's Thesis / Essay, Mathematics.
|
Text
mMATH_2020_HaeringenTMvan.pdf Download (9MB) | Preview |
|
![[img]](https://fse.studenttheses.ub.rug.nl/style/images/fileicons/text.png) |
Text
toestemming.pdf Restricted to Registered users only Download (123kB) |
Abstract
Closed hyperelliptic Riemann surfaces can be represented by a class of polygons in the hyperbolic plane, called admissible or hyperelliptic polygons. In this thesis we study this relation, and derive conditions on the vertices of a hyperbolic polygon as to be admissible. Furthermore, we apply our representation of a closed hyperelliptic Riemann surface M by an admissible polygon to solve a specific problem: given a non-contractible closed curve α on M, we provide algorithms to calculate the unique closed geodesic β homotopic to α, as well as a homotopy from α to β.
| Item Type: | Thesis (Master's Thesis / Essay) |
|---|---|
| Supervisor name: | Vegter, G. |
| Degree programme: | Mathematics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 18 Dec 2020 12:40 |
| Last Modified: | 18 Dec 2020 12:40 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/23730 |
Actions (login required)
 |
View Item |