The structure of the ring of Hodge cycles on a certain family of abelian varieties of CM-type is investigated. This leads to an interesting combinatorial problem related to posets based on complete $p$ -ary trees. A complete solution to the problem is given for the case $p=2$ .
@article{1145287093,
author = {HAZAWA, Fumio},
title = {Hodge cycles on abelian varieties associated to the complete binary trees},
journal = {J. Math. Soc. Japan},
volume = {58},
number = {3},
year = {2006},
pages = { 55-82},
language = {en},
url = {http://dml.mathdoc.fr/item/1145287093}
}
HAZAWA, Fumio. Hodge cycles on abelian varieties associated to the complete binary trees. J. Math. Soc. Japan, Tome 58 (2006) no. 3, pp. 55-82. http://gdmltest.u-ga.fr/item/1145287093/