Thesis
Equations for modular curves
- Abstract:
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The primary topic of this thesis is the construction of explicit projective equations for the modular curves $X_0(N)$. The techniques may also be used to obtain equations for $X_0^+(p)$ and, more generally, $X_0(N) / W_n$. The thesis contains a number of tables of results. In particular, equations are given for all curves $X_0(N)$ having genus $2 le g le 5$. Equations are also given for all $X_0^+(p)$ having genus 2 or 3, and for the genus 4 and 5 curves $X_0^+(p)$ when $p le 251$. The mos...
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Funding
Bibliographic Details
- Publication date:
- 1996
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
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uuid:4b893bc3-f4fe-4877-872a-6a7dd4d5c76d
- Local pid:
- ora:5500
- Deposit date:
- 2011-06-24
Terms of use
- Copyright holder:
- Steven Galbraith
- Copyright date:
- 1996
- Licence:
- CC Attribution (CC BY)
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