Extended canonical algebras and Fuchsian singularities
  We introduce a new class of finite dimensional algebras, called extended canonical, investigate their derived categories and study the spectral behavior of their Coxeter transformations. The subject relates to the triangulated categories of (graded) singularities introduced by R. Buchweitz (1987) and D. Orlov (2004). 
Helmut Lenzing and Jos\'e Antonio de la Pe\~na