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arXiv:1304.6851 [math.NT]AbstractReferencesReviewsResources

A criterion for good reduction of Drinfeld modules and Anderson motives in terms of local shtukas

Urs Hartl, Simon Hüsken

Published 2013-04-25, updated 2016-03-10Version 2

For an Anderson A-motive over a discretely valued field whose residue field has A-characteristic \epsilon, we prove a criterion for good reduction in terms of its associated local shtuka at \epsilon. This yields a criterion for good reduction of Drinfeld modules. Our criterion is the function-field analog of Grothendieck's and de Jong's criterion for good reduction of an abelian variety over a discretely valued field with residue characteristic p in terms of its associated p-divisible group.

Comments: 15 pages
Journal: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Vol. XV (2016), 25-43
Categories: math.NT
Subjects: 11G09, 14L05
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