Abstract
Although the notion of a Néron model is functorial, it cannot be said that Néron models satisfy the properties, one would expect from a good functor. For example, Néron models do not, in general, commute with (ramified) based change; also, in the group scheme case, the behavior with respect to exact sequences can be very capricious. The situation stabilizes somewhat if one considers Néron models with semi-abelian reduction.
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© 1990 Springer-Verlag Berlin Heidelberg
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Bosch, S., Lütkebohmert, W., Raynaud, M. (1990). Properties of Néron Models. In: Néron Models. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51438-8_8
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DOI: https://doi.org/10.1007/978-3-642-51438-8_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08073-9
Online ISBN: 978-3-642-51438-8
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