Perverse Cohomology and the Vanishing Index Theorem

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dc.creatorMassey, David B.
dc.date2000-07-08
dc.date.accessioned2026-07-07T04:36:18Z
dc.date.available2026-07-07T04:36:18Z
dc.descriptionThe characteristic cycle of a complex of sheaves on a complex analytic space provides weak information about the complex; essentially, it yields the Euler characteristics of the hypercohomology of normal data to strata. We show how perverse cohomology actually allows one to extract the individual Betti numbers of the hypercohomology of normal data to strata, not merely the Euler characteristics. We apply this to the ``calculation'' of the vanishing cycles of a complex, and relate this to the work of Parusiński and Briançon, Maisonobe, and Merle on Thom's $a_f$ condition.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0007047
dc.identifierhttp://arxiv.org/abs/math/0007047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59545
dc.subjectAlgebraic Geometry
dc.subject32B15
dc.titlePerverse Cohomology and the Vanishing Index Theorem
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