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replaced tag "abelian-schemes" with "Neron models" -- the current set of tags seems more descriptive
Pete L. Clark
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Are there Néron models over higher dimensional base schemes?

Are there Néron models for Abelian varieties over higher dimensional ($> 1$) base schemes $S$, let's say $S$ smooth, separated and of finite type over a field?

If not, under what additional conditions?

user19475