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Aug 26, 2017 at 17:29 comment added stupid_question_bot @FelipeVoloch I've edited the question, so as to refer only to elliptic curves (ie, an origin has been chosen), so by "$D$ is torsion" I mean that $D\subset E[m]$ for some $m\ge 1$.
Aug 26, 2017 at 17:28 history edited stupid_question_bot CC BY-SA 3.0
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Aug 26, 2017 at 10:03 comment added Felipe Voloch If $D = x_1+x_2$ and $x_2-x_1$ is torsion, say $(f) = n(x_2-x_1)$, the covers given by $z^r = f$ give a map $\Pi_D \to \pi_1 \times {\hat{\mathbb{Z}}}$ with finite kernel.
Aug 26, 2017 at 9:57 comment added Felipe Voloch What do you mean by $D$ torsion? It can't be torsion in the usual sense since it has positive degree. Do you mean it is supported on torsion points? Even for that, you need to choose an origin.
Aug 26, 2017 at 4:47 history edited stupid_question_bot CC BY-SA 3.0
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Mar 16, 2017 at 7:01 history edited stupid_question_bot CC BY-SA 3.0
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Feb 28, 2017 at 23:53 history edited stupid_question_bot CC BY-SA 3.0
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Feb 26, 2017 at 4:32 history asked stupid_question_bot CC BY-SA 3.0