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

Urs Hartl, Simon Hüsken

  • 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


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