Residues in intersection homology and L_p-cohomology
| dc.creator | Weber, Andrzej | |
| dc.date | 1996-08-10 | |
| dc.date | 1996-12-02 | |
| dc.date.accessioned | 2026-07-07T09:01:44Z | |
| dc.date.available | 2026-07-07T09:01:44Z | |
| dc.description | Suppose $M^{n+1}$ is a complex manifold and K is a hypersurface with isolated singularities. Let $ω$ be a holomorphic form on $M\setminus K$ with the first order pole on K. The Leray residue of such form gives an element in the n-th homology of K which is the Alexander dual to $[ω]\in H^{n+1}(M\setminus K)$. It always lifts to the intersection homology if 0 does not belong to the spectra of a singular points. We assume that singularities are described by the quasihomogeneous equations in certain coordinate systems. Suppose that oscillation indicators of the singular points are greater then -1. Then we find a metric on $K\setminusΣ$ in which the residue form is square integrable (and even L_p-integrable for p>2). Applying the isomorphism of L_p-cohomology and intersection homology we obtain a particular lift of the residue class in homology to intersection homology. | |
| dc.description | 12 pages, AMS-tex. I have made some minor corrections and added few remarks | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9608009 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9608009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148383 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Residues in intersection homology and L_p-cohomology | |
| dc.type | text |