The field of moduli of quaternionic multiplication on abelian varieties

Details The field of moduli of quaternionic multiplication on abelian varieties The field of moduli of quaternionic multiplication on abelian varieties

2004-09-20

arxiv.org/abs/math/0409354v2

Published in International J. Math. M. Sc. 52 (2004), 2795-2808

Mathematics

Number Theory

This version corrects Proposition 4.2 and some misprints in section 4 that appeared in the published version

Scientific paper

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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