dc.contributor.author Burban, Igor dc.contributor.author Drozd, Jurij A. dc.date.accessioned 2009-03-20T12:00:35Z dc.date.accessioned 2016-10-05T14:14:11Z dc.date.available 2009-03-20T12:00:35Z dc.date.available 2016-10-05T14:14:11Z dc.date.issued 2009-03-08 dc.identifier.uri http://publications.mfo.de/handle/mfo/1148 dc.description Research in Pairs 2009 en_US dc.description.abstract In 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.iso en en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2009,14 dc.title Tilting on non-commutative rational projective curves en_US dc.type Preprint en_US dc.rights.license Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. de dc.rights.license This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. en dc.identifier.doi 10.14760/OWP-2009-14 local.scientificprogram Research in Pairs 2009 local.series.id OWP-2009-14 local.subject.msc 14 local.subject.msc 16 dc.identifier.urn urn:nbn:de:101:1-200907022522 dc.identifier.ppn 1649512627
﻿