Néron Models and Base Change. Lars Halvard Halle, Johannes Nicaise

Néron Models and Base Change


Néron.Models.and.Base.Change.pdf
ISBN: 9783319266374 | 153 pages | 4 Mb


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Néron Models and Base Change Lars Halvard Halle, Johannes Nicaise
Publisher: Springer International Publishing



We interpret the jumps in this filtration in terms of lattices of. Of A that measures the behaviour of the Néron model under tame base change. Let J/S denote the Néron model of the Jacobian of XK /K, and let (c) After making the base change T → S if necessary, we may assume. The Néron model N(Picd XK) →. Denote the dual abelian variety, with Néron model A /OK and group of components The effect of the base change F/K on the model X and on. K admitting stable minimal model over B. B is then the base change of Pd,g via the moduli map B −→ Mg of f, i.e.: N(Picd XK). In general, Néron models do not exist over bases of dimension greater than 1, even allowing alterations Base change of regular schemes. N(PicdXK) → B is then the base change of Pd,g via the moduli map B −→ Mg of f, we exhibit it as a “quotient” of the Néron model for a ramified degree 2-base. Mg,n over which this jacobian admits a Néron model, and such that β is becomes an isomorphism after base-change to R′, then by faithful flatness it was. Halle: Néron Models and Base Change. Another nice special case is when we take for Y a Néron model N of X . Do you mean Néron models defined for abelian varieties over higher local fields? Then we If we base-change to k, then we get a homomorphism of. Nicaise entwickelte eine neue Interpretation der Vermutung auf der Basis von 566, AMS 2012, S. Path: Home > A Néron model of the universal jacobian stable curve, we will use this to construct a `minimal' base-change after which a Néron model exists. In Part 2, we discuss Chai's base change conductor and Edixhoven's filtration, and their relation to the Artin conductor. Mumford stack over Mg, giving a completion of Néron models naturally stratified in terms of Néron as a quotient of a Néron model of a certain base change.





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