Lowest Weights in Cohomology of Variations of Hodge Structure
| dc.creator | Peters, Chris | |
| dc.date | 2007-08-01 | |
| dc.date | 2007-08-02 | |
| dc.date.accessioned | 2026-07-07T08:21:43Z | |
| dc.date.available | 2026-07-07T08:21:43Z | |
| dc.description | Let X be a smooth complex projective variety, let $j:U\into X$ an immersion of a Zariski open subset, and let V be a variation of Hodge structure of weight n over U. Then IH^k(X, j_*V) is known to carry a pure Hodge structure of weight k+n, while H^k(U,V) carries a mixed Hodge structure of weight $\ge k+n$. In this note it is shown that the image of the natural map $IH^k(X,j_*V) \to H^k(U,V)$ is the lowest weight part of this mixed Hodge structure. The proof uses Saito's theory of mixed Hodge modules. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0708.0130 | |
| dc.identifier | http://arxiv.org/abs/0708.0130 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135411 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 14D07, 32G20 | |
| dc.title | Lowest Weights in Cohomology of Variations of Hodge Structure | |
| dc.type | text |