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Jun 26, 2013 at 20:49 history edited Dan Petersen CC BY-SA 3.0
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Jun 26, 2013 at 20:19 comment added Akhil Mathew I believe that, if the $\mathbb{P}^1$ is not allowed to break (but if branch points can collide), the only part of $\overline{M}_2$ will be reached is the "hyperelliptic" locus (the locus where the canonical bundle is generated by global sections), which leaves out in particular the locus I'm most interested in (unions of elliptic curves). I would like to write down families in coordinates, and I'm not too picky about "high" (say $\geq 2$). I wasn't familiar with the theory of admissible covers though, and it seems quite relevant. Thanks.
Jun 26, 2013 at 20:17 history edited Dan Petersen CC BY-SA 3.0
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Jun 26, 2013 at 20:12 history answered Dan Petersen CC BY-SA 3.0