%0 Journal Article %T On exceptional collections on some log Del Pezzo surfaces with one singular point %A Alexei Elagin %J Mathematics %D 2008 %I arXiv %X In this paper we construct a full exceptional collection of sheaves on some family of log Del Pezzo surfaces, viewed as a smooth stack. These surfaces can be embedded as a quasi-smooth hypersurfaces into a certain weighted projective space, and they are not toric. %U http://arxiv.org/abs/0809.5146v1