Dijk, Ruben van (2021) Computing Arakelov–Green Functions on Metrized Graphs. Bachelor's Thesis, Mathematics.
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Abstract
Arakelov–Green functions on metrized graphs have important applications in number theory, and it is therefore useful to have an easy method of computing their values. This thesis provides an introduction to metrized graphs and Arakelov–Green functions, before recalling several of Zubeyir Cinkir’s findings in this field. We use these results to construct formulas for Arakelov–Green functions with respect to any admissible metric, which allow us to devise an efficient algorithm to compute the functions’ values. We conclude by applying this algorithm to five different examples using an implementation in Sage.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Supervisor name: | Muller, J.S. and Lorscheid, O. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 19 Jul 2021 07:21 |
| Last Modified: | 19 Jul 2021 07:21 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/25294 |
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