Cohomology of the Orlik-Solomon algebras and local systems

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dc.creatorLibgober, A.
dc.creatorYuzvinsky, S.
dc.date1998-06-24
dc.date.accessioned2026-07-07T06:36:11Z
dc.date.available2026-07-07T06:36:11Z
dc.descriptionThe paper provides a combinatorial method to decide when the space of local systems with non vanishing first cohomology on the complement to an arrangement of lines in a complex projective plane has as an irreducible component a subgroup of positive dimension. Partial classification of arrangements having such a component of positive dimension and a comparison theorem for cohomology of Orlik-Solomon algebra and cohomology of local systems are given. The methods are based on Vinberg-Kac classification of generalized Cartan matrices and study of pencils of algebraic curves defined by mentioned positive dimensional components.
dc.descriptionlatex, 28 p
dc.identifierhttps://arxiv.org/abs/math/9806137
dc.identifierhttp://arxiv.org/abs/math/9806137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100006
dc.subjectCombinatorics
dc.subjectMathematical Physics
dc.titleCohomology of the Orlik-Solomon algebras and local systems
dc.typetext

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