Cohomology rings and nilpotent quotients of real and complex arrangements

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dc.creatorMatei, Daniel
dc.creatorSuciu, Alexander I.
dc.date1998-12-15
dc.date1999-04-03
dc.date.accessioned2026-07-07T05:27:14Z
dc.date.available2026-07-07T05:27:14Z
dc.descriptionFor an arrangement with complement X and fundamental group G, we relate the truncated cohomology ring, H^{<=2}(X), to the second nilpotent quotient, G/G_3. We define invariants of G/G_3 by counting normal subgroups of a fixed prime index p, according to their abelianization. We show how to compute this distribution from the resonance varieties of the Orlik-Solomon algebra mod p. As an application, we establish the cohomology classification of 2-arrangements of n<=6 planes in R^4.
dc.descriptionLaTeX2e, 22 pages, to appear in Singularities and Arrangements, Sapporo-Tokyo 1998, Advanced Studies in Pure Mathematics
dc.identifierhttps://arxiv.org/abs/math/9812087
dc.identifierhttp://arxiv.org/abs/math/9812087
dc.identifierArrangements--Tokyo 1998, 185-215, Advanced Studies in Pure Mathematics, vol. 27, Kinokuniya, Tokyo, 2000
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77848
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.subject52B30, 57M05 (Primary); 20F14, 20J05 (Secondary)
dc.titleCohomology rings and nilpotent quotients of real and complex arrangements
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