Combinatorial remarks on a classical theorem of Deligne

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dc.creatorDelucchi, Emanuele
dc.date2006-11-24
dc.date.accessioned2026-07-07T07:33:18Z
dc.date.available2026-07-07T07:33:18Z
dc.descriptionWe examine Deligne's classical proof of the asphericity of simplicial arrangements from the viewpoint of the combinatorics of the poset of regions of the arrangement. This turns out to be very natural. In particular, we show that an arrangement is simplicial only if it satisfies Deligne's property on positive paths, thus answering a question posed by Luis Paris.
dc.description9 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0611759
dc.identifierhttp://arxiv.org/abs/math/0611759
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119410
dc.subjectCombinatorics
dc.subject06A07; 37F20
dc.titleCombinatorial remarks on a classical theorem of Deligne
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