Connections for weighted projective lines

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dc.creatorCrawley-Boevey, William
dc.date2009-04-22
dc.date.accessioned2026-07-07T13:07:16Z
dc.date.available2026-07-07T13:07:16Z
dc.descriptionWe introduce a notion of a connection on a coherent sheaf on a weighted projective line (in the sense of Geigle and Lenzing). Using a theorem of Huebner and Lenzing we show, under a mild hypothesis, that if one considers coherent sheaves equipped with such a connection, and one passes to the perpendicular category to a nonzero vector bundle without self-extensions, then the resulting category is equivalent to the category of representations of a deformed preprojective algebra.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0904.3430
dc.identifierhttp://arxiv.org/abs/0904.3430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228032
dc.subjectAlgebraic Geometry
dc.subject14H45; 16G20
dc.titleConnections for weighted projective lines
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