Residue in intersection homology for quasihomogeneous singularities

dc.creatorWeber, Andrzej
dc.date1996-11-26
dc.date.accessioned2026-07-07T09:07:06Z
dc.date.available2026-07-07T09:07:06Z
dc.descriptionSuppose M is a complex manifold of dimension $n+1$ and K is a hypersurface in M. By Poincaré duality we define a residue morphism $res:H^{k+1}(M\setminus K)\longrightarrow H_{2n-k}(K)$ which generalizes the classical Leray residue morphism to cohomology for smooth K. We assume that K has isolated quasihomogeneous singularities. Suppose $ω$ is a holomorphic form of the type $(n+1,0)$ with the first order pole on K. The purpose of this note is to give a short, self contained proof of a criterion which tells us when the residue of $ω$ lifts to the intersection homology of K.
dc.description8 pages, AMS-tex
dc.identifierhttps://arxiv.org/abs/alg-geom/9611034
dc.identifierhttp://arxiv.org/abs/alg-geom/9611034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150249
dc.subjectAlgebraic Geometry
dc.titleResidue in intersection homology for quasihomogeneous singularities
dc.typetext

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