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arxiv: 1904.00501 · v1 · pith:J6FYV3UUnew · submitted 2019-03-31 · 🧮 math.NT

Tate-Shafarevich groups of constant elliptic curves and isogeny volcanos

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keywords curvesellipticconstantfieldsgroupsisogenystructuretate-shafarevich
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We describe the structure of Tate-Shafarevich groups of a constant elliptic curves over function fields by exploiting the volcano structure of isogeny graphs of elliptic curves over finite fields.

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