Tohoku Mathematical Journal
2007
September
SECOND SERIES VOL. 59, NO. 3

Tohoku Math. J.
59 (2007), 423-440

Title DISCRETE TOMOGRAPHY AND HODGE CYCLES

Author Fumio Hazama

(Received March 10, 2006, revised March 26, 2007)
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.

2000 Mathematics Subject Classification. Primary 39A12; Secondary 14C30.

To the top of this page

Back to the Contents