Westerbeek, Roosje (2019) Belyi's Theorem in Characteristic Two. Master's Thesis / Essay, Mathematics.
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Abstract
An analogue of Belyi’s theorem in characteristic 2 is concerned with the existence of a tame morphism from any proper smooth curve over an algebraically closed field of characteristic 2 to the projective line. In this thesis, we discuss two proofs of this recent theorem. Following these proofs, we attempt to construct a tame morphism in two examples: the elliptic curve x^3=y^2+y, and Klein's quartic curve x^3y+y^3z+z^3x=0.
| Item Type: | Thesis (Master's Thesis / Essay) |
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| Supervisor name: | Top, J. |
| Degree programme: | Mathematics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 30 Apr 2019 |
| Last Modified: | 01 May 2019 07:55 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/19414 |
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