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Belyi's Theorem in Characteristic Two

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)
Supervisor:
Supervisor nameSupervisor E mail
Top, J.J.Top@rug.nl
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 30 Apr 2019
Last Modified: 01 May 2019 07:55
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/19414

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