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

• Urs Hartl ^[1] ; Simon Hüsken
  1. [1] Universität Münster, Germany
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 15, Nº Extra 1 (Special volume), 2016, págs. 25-43
• Idioma: inglés
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• Resumen

  • For an Anderson A-motive over a discretely valued field whose residue field has A-characteristic ", we prove a criterion for good reduction in terms of its associated local shtuka at ". This yields a criterion for good reduction of Drinfeld modules. Our criterion is the function-field analog of Grothendieck’s [15, Proposition IX.5.13] and de Jong’s [19, 2.5] 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