Helices on del Pezzo surfaces and tilting Calabi-Yau algebras Export

@article{citeulike:5765295, abstract = {We study tilting for a class of Calabi-Yau algebras associated to helices on Fano varieties. We do this by relating the tilting operation to mutations of exceptional collections. For helices on del Pezzo surfaces the algebras are of dimension three, and using an argument of Herzog, together with results of Kuleshov and Orlov, we obtain a complete description of the tilting process in terms of quiver mutations.}, archivePrefix = {arXiv}, author = {Bridgeland, Tom and Stern, David}, citeulike-article-id = {5765295}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.1732}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.1732}, day = {9}, eprint = {0909.1732}, keywords = {algebras, and, calabi-yau, del, helices, on, pezzo, surfaces, tilting}, month = {Sep}, posted-at = {2009-09-10 20:53:11}, priority = {2}, title = {Helices on del Pezzo surfaces and tilting Calabi-Yau algebras}, url = {http://arxiv.org/abs/0909.1732}, year = {2009} }

TY - JOUR ID - citeulike:5765295 L3 - citeulike-article-id:5765295 N2 - We study tilting for a class of Calabi-Yau algebras associated to helices on Fano varieties. We do this by relating the tilting operation to mutations of exceptional collections. For helices on del Pezzo surfaces the algebras are of dimension three, and using an argument of Herzog, together with results of Kuleshov and Orlov, we obtain a complete description of the tilting process in terms of quiver mutations. TI - Helices on del Pezzo surfaces and tilting Calabi-Yau algebras KW - algebras KW - and KW - calabi-yau KW - del KW - helices KW - on KW - pezzo KW - surfaces KW - tilting AU - Bridgeland, Tom AU - Stern, David PY - 2009/Sep/09/ UR - http://arxiv.org/abs/0909.1732 ER -