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dc.contributor.authorBurban, Igor
dc.contributor.authorDrozd, Jurij A.
dc.date.accessioned2009-03-20T12:00:35Z
dc.date.accessioned2016-10-05T14:14:11Z
dc.date.available2009-03-20T12:00:35Z
dc.date.available2016-10-05T14:14:11Z
dc.date.issued2009-03-08
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1148
dc.descriptionResearch in Pairs 2009en_US
dc.description.abstractIn this article we introduce a new class of non-commutative projective curves and show that in certain cases the derived category of coherent sheaves on them has a tilting complex. In particular, we prove that the right bounded derived category of coherent sheaves on a reduced rational projective curve with only nodes and cusps as singularities, can be fully faithfully embedded into the right bounded derived category of the finite dimensional representations of a certain finite dimensional algebra of global dimension two. As an application of our approach we show that the dimension of the bounded derived category of coherent sheaves on a rational projective curve with only nodal or cuspidal singularities is at most two. In the case of the Kodaira cycles of projective lines, the corresponding tilted algebras belong to a well-known class of gentle algebras. We work out in details the tilting equivalence in the case of the Weierstrass nodal curve $zy^2=x^3+x^2z$.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2009,14
dc.titleTilting on non-commutative rational projective curvesen_US
dc.typePreprinten_US
dc.identifier.doi10.14760/OWP-2009-14
local.scientificprogramResearch in Pairs 2009
local.series.idOWP-2009-14
local.subject.msc14
local.subject.msc16


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