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Twists of the Klein Curve and of the Fricke Macbeath Curve

Verschoor, C. A. (2015) Twists of the Klein Curve and of the Fricke Macbeath Curve. Master's Thesis / Essay, Mathematics.

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Abstract

The curves studied in this project are the unique curves of genus g equal to 3 resp. 7,which have 84(g-1) automorphisms. Our aim is to study these curves over finite fields, describe `forms / twists' of them, and derive results on their number of points over finite fields. This extends work of Iwan Duursma and of Top and Meagher (all only discussing the Klein curve).

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 08:08
Last Modified: 15 Feb 2018 08:08
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/13310

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