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Jun 28, 2013 at 3:09 comment added Akhil Mathew Great. I need to think a bit more to understand this, but I think this is exactly what I was looking for.
Jun 28, 2013 at 3:08 vote accept Akhil Mathew
Jun 27, 2013 at 18:03 history edited Jason Starr CC BY-SA 3.0
Added more details.
Jun 27, 2013 at 3:23 comment added Akhil Mathew Thanks. I agree with that the double cover issue seems to be tricky. I'm not really sure how to do this in families. For instance, the hope was to get a family of genus two curves over the family of conics in $\mathbb{P}^2$ allowing degenerations of the conic, but an obstacle is that this is not a Zariski locally trivial $\mathbb{P}^1$-bundle (as the projectivization of the sections of the canonical bundle must be).
Jun 26, 2013 at 21:34 history edited Jason Starr CC BY-SA 3.0
Typo correction: "b" --> "p" for name of point in one line.
S Jun 26, 2013 at 20:40 history answered Jason Starr CC BY-SA 3.0
S Jun 26, 2013 at 20:40 history made wiki Post Made Community Wiki by Jason Starr