On the Locus of Hodge Classes
| dc.creator | Cattani, Eduardo | |
| dc.creator | Deligne, Pierre | |
| dc.creator | Kaplan, Aroldo | |
| dc.date | 1994-02-10 | |
| dc.date.accessioned | 2026-07-07T09:05:59Z | |
| dc.date.available | 2026-07-07T09:05:59Z | |
| dc.description | Let $f: X \rightarrow S$ be a family of non singular projective varieties parametrized by a complex algebraic variety $S$. Fix $s \in S$, an integer $p$, and a class $h \in {\rm H}^{2p}(X_s,\Z)$ of Hodge type $(p,p)$. We show that the locus, on $S$, where $h$ remains of type $(p,p)$ is algebraic. This result, which in the geometric case would follow from the rational Hodge conjecture, is obtained in the setting of variations of Hodge structures. | |
| dc.description | 25 pages, Plain TeX | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9402009 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9402009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149866 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the Locus of Hodge Classes | |
| dc.type | text |