Kac's Theorem for weighted projective lines

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dc.creatorCrawley-Boevey, William
dc.date2005-12-04
dc.date2007-09-20
dc.date.accessioned2026-07-07T08:30:56Z
dc.date.available2026-07-07T08:30:56Z
dc.descriptionWe prove an analogue of Kac's Theorem, describing the dimension vectors of indecomposable coherent sheaves, or parabolic bundles, over weighted projective lines. We use a theorem of Peng and Xiao to associate a Lie algebra to the category of coherent sheaves for a weighted projective line over a finite field, and find elements of this Lie algebra which satisfy the relations defining the loop algebra of a Kac-Moody Lie algebra.
dc.description13 pages; minor changes only
dc.identifierhttps://arxiv.org/abs/math/0512078
dc.identifierhttp://arxiv.org/abs/math/0512078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138371
dc.subjectAlgebraic Geometry
dc.subject14H60, 16G20
dc.titleKac's Theorem for weighted projective lines
dc.typetext

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