Derived categories of irreducible projective curves of arithmetic genus one

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dc.creatorBurban, Igor
dc.creatorKreussler, Bernd
dc.date2005-03-23
dc.date2006-02-14
dc.date.accessioned2026-07-07T06:39:38Z
dc.date.available2026-07-07T06:39:38Z
dc.descriptionWe investigate the bounded derived category of coherent sheaves on irreducible singular projective curves of arithmetic genus one. A description of the group of exact auto-equivalences and the set of all t-structures of this category is given. We describe the moduli space of stability conditions, obtain a complete classification of all spherical objects in this category and show that the group of exact auto-equivalences acts transitively on them. Harder-Narasimhan filtrations in the sense of Bridgeland are used as our main technical tool.
dc.description44 pages; minor modifications; to appear in Compositio Math
dc.identifierhttps://arxiv.org/abs/math/0503496
dc.identifierhttp://arxiv.org/abs/math/0503496
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101153
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject18E30; 14H60; 14H52; 14H20; 14H10
dc.titleDerived categories of irreducible projective curves of arithmetic genus one
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