Resonance varieties, admissible line combinatorics and combinatorial pencils

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dc.creatorMarco-Buzunáriz, Miguel Ángel
dc.date2005-05-20
dc.date.accessioned2026-07-07T05:20:06Z
dc.date.available2026-07-07T05:20:06Z
dc.descriptionIn this paper we define the combinatorial analogous of a pencil, and show its relationship with the concept of admissibility. Such an object is usefull to study the isomorphisms between fundamental groups of the complements of line arrangement with the same combinatorial type. This definition generalizes the idea of net given by Yuzvinsky and others. The main theorem in this paper states that there is a correspondence between components of the resonance variety and combinatorial pencils.
dc.description13 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0505435
dc.identifierhttp://arxiv.org/abs/math/0505435
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75256
dc.subjectCombinatorics
dc.subjectAlgebraic Geometry
dc.subject52C35
dc.titleResonance varieties, admissible line combinatorics and combinatorial pencils
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