Non-vanishing of the twisted cohomology on the complement of hypersurfaces

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dc.creatorKawahara, Yukihito
dc.date2005-06-22
dc.date.accessioned2026-07-07T05:20:54Z
dc.date.available2026-07-07T05:20:54Z
dc.descriptionUnder the generic situation, the cohomology with the coefficients in the local system on complements of hypersurfaces vanishes except in the highest dimension. Our problem is of when the local system cohomology does not vanish. In the case of arrangements of hyperplanes, many examples were founded. In this paper, we shall generalize their examples to hypersurfaces. We obtain that hypersurfaces given by some linear system have non-vanishing local system cohomologies.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0506439
dc.identifierhttp://arxiv.org/abs/math/0506439
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75551
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject14F40; 14C20, 32S22
dc.titleNon-vanishing of the twisted cohomology on the complement of hypersurfaces
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