The cohomology of line bundles of splice-quotient singularities

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dc.creatorNémethi, András
dc.date2008-10-22
dc.date.accessioned2026-07-07T10:12:31Z
dc.date.available2026-07-07T10:12:31Z
dc.descriptionWe provide several results on splice-quotient singularities: a combinatorial expression of the dimension of the first cohomology of all `natural' line bundles, an equivariant Campillo-Delgado-Gusein-Zade type formula about the dimension of relative sections of line bundles (proving that the equivariant, divisorial multi-variable Hilbert series is topological), a combinatorial description of divisors of analytic function-germs, and an expression for the multiplicity of the singularity from its resolution graph. Additional, we establish a new formula for the Seiberg-Witten invariants of any rational homology sphere singularity link.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0810.4129
dc.identifierhttp://arxiv.org/abs/0810.4129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172204
dc.subjectAlgebraic Geometry
dc.subject32S05; 32S25; 57M27; 32S45; 32S50; 32C35; 57R57;
dc.titleThe cohomology of line bundles of splice-quotient singularities
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