Hodge-DeRham theory with degenerating coefficients
| dc.creator | ElZein, Fouad | |
| dc.date | 2003-11-06 | |
| dc.date.accessioned | 2026-07-07T05:02:40Z | |
| dc.date.available | 2026-07-07T05:02:40Z | |
| dc.description | Let ${\cal L}$ be a local system on the complement $X^{\star}$ of a normal crossing divisor (NCD) $ Y$ in a smooth analytic variety $X$ and let $ j: X^{\star} = X - Y \to X $ denotes the open embedding. The purpose of this paper is to describe a weight filtration $W$ on the direct image ${\bf j}_{\star}{\cal L} $ and in case a morphism $f: X \to D$ to a complex disc is given with $Y = f^{-1}(0)$, the weight filtration on the complex of nearby cocycles $Ψ_f ({\cal L})$ on $Y$. A comparison theorem shows that the filtration coincides with the weight defined by the logarithm of the monodromy and provides the link with various results on the subject. | |
| dc.identifier | https://arxiv.org/abs/math/0311083 | |
| dc.identifier | http://arxiv.org/abs/math/0311083 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69097 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 32S35; 32G20; 14D07 | |
| dc.title | Hodge-DeRham theory with degenerating coefficients | |
| dc.type | text |