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Jan 13, 2015 at 17:13 comment added Question Mark There is no need to reference the linked arXiv paper: the nontrivial part (i.e., the surjectivity of the generic fiber pullback) of the result is already a special case of 8.4/6 of "Neron models" by Bosch, Lutkebohmert, Raynaud (this reference should be mentioned in the proof of Thm. 3.2 of the linked paper).
Jan 13, 2015 at 15:31 history edited user19475 CC BY-SA 3.0
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Jan 13, 2015 at 15:19 comment added jmc I think it would be nice if the accepted answer would expand a little bit. Currently the term “Néron model” isn't even mentioned.
Jan 13, 2015 at 15:13 history edited user19475 CC BY-SA 3.0
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Jan 13, 2015 at 14:32 vote accept CommunityBot moved from User.Id=19475 by developer User.Id=69903
Aug 14, 2018 at 11:57
Jan 13, 2015 at 14:30 comment added user19475 Yes, you are right, exactly!
Jan 13, 2015 at 14:06 comment added jmc Am I correct when I paraphrase that as "every abelian scheme over $S$ is the Néron model of its general fibre"? However, this doesn't say anything about which $A/\eta$ have a Néron model. But it does say that $g_{*}A$ is the sheaf that is the candidate. Nice to see you returning to your own question after 4 years!
Jan 13, 2015 at 13:30 history answered user19475 CC BY-SA 3.0