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Subgroup of the Jacobian of a Family of Superelliptic Curves |
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PP: 343-353 |
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doi:10.18576/isl/110205
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Author(s) |
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Alwaleed Kamel,
Waleed Khaled Elshareef,
Mohamed A. Saleem,
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Abstract |
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| In this paper, we describe the structure of the subgroup generated by the images of the 2-sextactic points under the Abel- Jacobi map in the Jacobian of a 1-parameter family (Ca)a∈C\{0,1} of smooth projective plane curves of degree four. Each curve
Ca ⊂ P2(C) of (Ca)a∈C\{0,1} is given by
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