## Journal of the Mathematical Society of Japan

### Hodge cycles on abelian varieties associated to the complete binary trees

Fumio HAZAWA

#### Abstract

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 information

Source
J. Math. Soc. Japan, Volume 58, Number 1 (2006), 55-82.

Dates
First available in Project Euclid: 17 April 2006

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1145287093

Digital Object Identifier
doi:10.2969/jmsj/1145287093

Mathematical Reviews number (MathSciNet)
MR2204565

Zentralblatt MATH identifier
1117.14013

#### Citation

HAZAWA, Fumio. Hodge cycles on abelian varieties associated to the complete binary trees. J. Math. Soc. Japan 58 (2006), no. 1, 55--82. doi:10.2969/jmsj/1145287093. https://projecteuclid.org/euclid.jmsj/1145287093

#### References

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