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Hauteurs normalisées des sous-variétés de produits de modules de Drinfeld

Published online by Cambridge University Press:  04 December 2007

Vincent Bosser
Vincent Bosser
Affiliation:
Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland. e-mail: [email protected]
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Abstract

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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 geometryDrinfeld moduleT-moduleheightnormalized height
Type
Research Article
Information
Compositio Mathematica , Volume 133 , Issue 3 , September 2002 , pp. 323 - 353
Copyright
© 2002 Kluwer Academic Publishers