Reider's Theorem and Thaddeus Pairs Revisited

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dc.creatorArcara, Daniele
dc.creatorBertram, Aaron
dc.date2009-04-22
dc.date.accessioned2026-07-07T13:07:19Z
dc.date.available2026-07-07T13:07:19Z
dc.descriptionBridgeland stability conditions allow for a new generalization of Thaddeus pairs to surfaces and a new interpretation of Reider's theorem as a consequence of "Schur's lemma" for stable objects (Hom(E,F) = 0 if E,F are stable objects and the slope of E exceeds the slope of F). One improvement of Reider's theorem results (Proposition 3.8/Corollary 3.9), and wall-crossings for the new Thaddeus pairs are discussed. This paper was submitted to the CMI conference proceedings celebrating the 65th birthday of Peter Newstead.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0904.3500
dc.identifierhttp://arxiv.org/abs/0904.3500
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228051
dc.subjectAlgebraic Geometry
dc.subject14D20
dc.titleReider's Theorem and Thaddeus Pairs Revisited
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