The Hodge theory of algebraic maps
| dc.creator | de Cataldo, Mark Andrea A. | |
| dc.creator | Migliorini, Luca | |
| dc.date | 2003-06-02 | |
| dc.date | 2004-05-24 | |
| dc.date.accessioned | 2026-07-07T04:58:29Z | |
| dc.date.available | 2026-07-07T04:58:29Z | |
| dc.description | We give a geometric proof of the Decomposition Theorem of Beilinson, Bernstein, Deligne and Gabber for the direct image of the intersection cohomology complex under a proper map of complex algebraic varieties. The method rests on new Hodge-theoretic results on the cohomology of projective varieties which extend naturally the classical theory and provide new applications. | |
| dc.description | 66 pages. New results on purity of intersection cohomology and on contractibility criteria added. Original arguments streamlined via weight filtration and two examples discussed in some detail. Presentation improved | |
| dc.identifier | https://arxiv.org/abs/math/0306030 | |
| dc.identifier | http://arxiv.org/abs/math/0306030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67655 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The Hodge theory of algebraic maps | |
| dc.type | text |