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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Springer Book Archive