Exhibiting Sha[2] on hyperelliptic jacobians
We discuss approaches to computing in the Shafarevich-Tate group of Jacobians of higher genus curves, with an emphasis on the theory and practice of visualisation. Especially for hyperelliptic curves, this often enables the computation of ranks of Jacobians, even when the 2-Selmer bound does not bou...
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| Médium: | Journal article |
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2006
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