Abstract
We study a problem in discrete tomography on the free abelian group of rank $n$ through the theory of distributions on the $n$-dimensional torus, and show that there is an intimate connection between the problem and the study of the Hodge cycles on abelian varieties of CM-type. This connection enables us to apply our results in tomography to obtain several infinite families of abelian varieties for which the Hodge conjecture hold.
Citation
Fumio Hazama. "Discrete tomography and Hodge cycles." Tohoku Math. J. (2) 59 (3) 423 - 440, 2007. https://doi.org/10.2748/tmj/1192117986
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