Discrete tomography and Hodge cycles
Hazama, Fumio
Tohoku Math. J. (2), Tome 59 (2007) no. 1, p. 423-440 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
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.
Publié le : 2007-05-14
Classification:  39A12,  14C30 
@article{1192117986,
     author = {Hazama, Fumio},
     title = {Discrete tomography and Hodge cycles},
     journal = {Tohoku Math. J. (2)},
     volume = {59},
     number = {1},
     year = {2007},
     pages = { 423-440},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1192117986}
}

Hazama, Fumio. Discrete tomography and Hodge cycles. Tohoku Math. J. (2), Tome 59 (2007) no. 1, pp.  423-440. http://gdmltest.u-ga.fr/item/1192117986/