## Hodge Cycles on Abelian Varieties with Complex Multiplication by Cyclic CM-Fields

J. Math. Sci. Univ. Tokyo
Vol. 10 (2003), No. 4, Page 581--598.

Hazama, Fumio
Hodge Cycles on Abelian Varieties with Complex Multiplication by Cyclic CM-Fields
For any cyclic CM-fields of degree $2pq$ with $p$, $q$ distinct odd primes, we determine which CM-types among $2^{pq}$ ones give rise to degenerate abelian varieties and in what codimension nondivisorial Hodge cycles exist on them.