Abstract
For an imaginary quadratic field $K$ with class number $h$, we shall characterize $h$-dimensional CM abelian varieties over $K$ which descend to abelian varieties over $\mathbf{Q}$. These CM abelian varieties have minimal dimension $h$ both over $K$ and over $\mathbf{Q}$.
Citation
Tetsuo Nakamura. "Abelian varieties over $\mathbf{Q}$ associated with an imaginary quadratic field." Proc. Japan Acad. Ser. A Math. Sci. 83 (8) 152 - 156, August 2007. https://doi.org/10.3792/pjaa.83.152
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