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The field of moduli of quaternionic multiplication on abelian varieties

2004/09/30 by Victor Rotger
Mathematics · #math.NT #math.AG #msc:11G18 #msc:14G35

paper · pdf

published as Published in International J. Math. M. Sc. 52 (2004), 2795-2808 · This version corrects Proposition 4.2 and some misprints in section 4 that appeared in the published version

arxiv created 2004/12/14 · arxiv updated 2009/12/01

Abstract

We consider principally polarized abelian varieties with quaternionic multiplication over number fields and we study the field of moduli of their endomorphisms in relation to the set of rational points on suitable Shimura varieties.

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