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Hauteurs normalisées des sous-variétés de produits de modules de Drinfeld
Authors:Vincent Bosser
Affiliation:(1) Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland
Abstract:
After establishing some important results on the usual height of projective varieties in positive characteristic, we construct a normalized height for subvarieties of products of Drinfeld modules and investigate its properties. In case the Drinfeld modules are pairwise isogeneous, we obtain in particular that the normalized height vanishes exactly on torsion varieties, that is on translates of sub-T-modules by torsion points.
Keywords:diophantine geometry  Drinfeld module  T-module  height  normalized height
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