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On plane models for Drinfeld modular curves |
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| Authors: | So Young Choi |
| Affiliation: | a FR 6.1 Mathematik, Universität des Saarlandes, Postfach 15 11 50, D-66041, Saarbrücken, Germany b Department of Mathematics, Hankuk Academy of Foreign Studies, San 89, Wangsan-ri, Mohyeon-myeon, Yongin-si, Gyeonggi-do, 449-854 Republic of Korea c Korea Institute for Advanced Study (KIAS), 207-43 Cheongnyangni 2-dong, Dongdaemun-gu, Seoul, 130-722 Republic of Korea |
| Abstract: | In this work, we find plane models for certain Drinfeld modular curves X0(n) which have better properties than the plane models derived from the usual Drinfeld modular equations. As an application, we construct ring class fields over imaginary quadratic fields by using singular values of generators of the function field of X0(n). |
| Keywords: | 11G09 |
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