Residue forms on singular hypersurfaces
| dc.creator | Weber, Andrzej | |
| dc.date | 2003-01-27 | |
| dc.date | 2005-04-05 | |
| dc.date.accessioned | 2026-07-07T04:54:43Z | |
| dc.date.available | 2026-07-07T04:54:43Z | |
| dc.description | The purpose of this paper is to point out a relation between the canonical sheaf and the intersection complex of a singular algebraic variety. We focus on the hypersurface case. Let $M$ be a complex manifold, $X\subset M$ a singular hypersurface. We study residues of top-dimensional meromorphic forms with poles along $X$. Applying resolution of singularities sometimes we are able to construct residue classes either in $L^2$-cohomology of $X$ or in the intersection cohomology. The conditions allowing to construct these classes coincide. They can be formulated in terms of the weight filtration. Finally, provided that these conditions hold, we construct in a canonical way a lift of the residue class to cohomology of $X$. | |
| dc.description | Final version, lots of remarks added, to appear in Michigan Math. J | |
| dc.identifier | https://arxiv.org/abs/math/0301313 | |
| dc.identifier | http://arxiv.org/abs/math/0301313 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66363 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Residue forms on singular hypersurfaces | |
| dc.type | text |