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The field of moduli of quaternionic multiplication on abelian varieties

Victor Rotger
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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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Victor Rotger. 2004-12-14. The field of moduli of quaternionic multiplication on abelian varieties. https://arxiv.org/abs/math/0409354

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