Hodge classes on abelian varieties of low dimension
| dc.creator | Moonen, B. J. J. | |
| dc.creator | Zarhin, Yu. G. | |
| dc.date | 1999-01-26 | |
| dc.date | 1999-04-13 | |
| dc.date.accessioned | 2026-07-07T05:27:39Z | |
| dc.date.available | 2026-07-07T05:27:39Z | |
| dc.description | In this paper we study Hodge classes on complex abelian varieties. We prove some general results that allow us, in certain cases, to compute the Hodge group of a product abelian variety $X = X_1 \times X_2$ once we know the Hodge groups of the two factors. Using these results we can compute the Hodge groups of all abelian varieties of dimension $\leq 5$. We prove that the Hodge ring of any such abelian variety $X$ is generated by divisor classes together with the so-called Weil classes on (quotients of) $X$. | |
| dc.description | 21 pages, plain TeX; corrected and expanded version | |
| dc.identifier | https://arxiv.org/abs/math/9901113 | |
| dc.identifier | http://arxiv.org/abs/math/9901113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78001 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C30; 11G10 | |
| dc.title | Hodge classes on abelian varieties of low dimension | |
| dc.type | text |