Numerical semigroups of genus eight and double coverings of curves of genus three |
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| Authors: | Takeshi Harui Jiryo Komeda |
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| Institution: | 1. Academic Support Center, Kogakuin University, 2665-1 Nakano, Hachioji, Tokyo?, 192-0015, Japan
2. Department of Mathematics, Center for Basic Education and Integrated Learning, Kanagawa Institute of Technology, Atsugi, Kanagawa?, 243-0292, Japan
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| Abstract: | The authors determine all possible numerical semigroups at ramification points of double coverings of curves when the covered curve is of genus three and the covering curve is of genus eight. Moreover, it is shown that all of such numerical semigroups are actually of double covering type. |
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