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dc.contributor.creatorBurban, Igor
dc.contributor.creatorKreussler, Bernd
dc.date.accessioned2013-05-14T11:19:56Z
dc.date.available2013-05-14T11:19:56Z
dc.date.issued2006
dc.identifier.citationBurban, I. and Kreussler, B. (2006) ‘Derived categories of irreducible projective curves of arithmetic genus one’, Compositio Mathematica, 142, 1231-1262.en
dc.identifier.urihttp://hdl.handle.net/10395/1883
dc.description.abstractWe 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.en
dc.language.isoengen
dc.publisherCambridge Journalsen
dc.relation.ispartofseriesCompositio Mathematica;142 1231-1262
dc.rightsCopyright © Cambridge Journals. Compositio Mathematica. The full journal can be found at http://journals.cambridge.orgen
dc.subjectMathematicsen
dc.subjectarithmetic genus oneen
dc.subjectIrreducible Projective Curvesen
dc.titleDerived categories of irreducible projective curves of arithmetic genus oneen
dc.typeArticleen
dc.type.supercollectionall_mic_researchen
dc.type.supercollectionmic_published_revieweden
dc.type.restrictionnoneen
dc.type.restrictionnoneen
dc.description.versionYesen
dc.identifier.doihttp://dx.doi.org/10.1112/S0010437X06002090


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