arXiv:1304.6851 [math.NT]AbstractReferencesReviewsResources
A criterion for good reduction of Drinfeld modules and Anderson motives in terms of local shtukas
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
Keywords: drinfeld modules, anderson motives, discretely valued field, residue field, abelian variety
Tags: journal article
Related articles: Most relevant | Search more
arXiv:0910.1212 [math.NT] (Published 2009-10-07)
Formal groups, supersingular abelian varieties and tame ramification
Anderson T-motives and abelian varieties with MIQF: results coming from an analogy
Galois representations, Mumford-Tate groups and good reduction of abelian varieties