Timeline for Abelian (possibly ramified covers) of elliptic curves
Current License: CC BY-SA 3.0
8 events
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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 |