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edit approved Aug 5, 2018 at 21:28

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No, they needn't. See

See: David Holmes. Neron models of jacobians over base schemes of dimension greater than 1. ToDavid Holmes: Neron models of jacobians over base schemes of dimension greater than 1., to appear in Journal fur die reine und angewandte Mathematik. and A criterion for existence of Néron models of jacobians. Giulio Orecchia. arXiv: 1806.05552Journal fur die reine und angewandte Mathematik.

and

Giulio Orecchia: A criterion for existence of Néron models of jacobians .

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created Aug 5, 2018 at 19:20

anon

No, they needn't. See: David Holmes. Neron models of jacobians over base schemes of dimension greater than 1. To appear in Journal fur die reine und angewandte Mathematik. and A criterion for existence of Néron models of jacobians. Giulio Orecchia. arXiv: 1806.05552.