A characterization of the hereditary categories derived equivalent to some category of coherent sheaves on a weighted projective line

Dieter Happel, Idun Reiten
2001 Proceedings of the American Mathematical Society  
Let H be a connected hereditary abelian category over an algebraically closed field k, with finite dimensional homomorphism and extension spaces. There are two main known types of such categories: those derived equivalent to mod λ for some finite dimensional hereditary k-algebra λ and those derived equivalent to some category coh X of coherent sheaves on a weighted projective line X in the sense of Geigle and Lenzing (1987) . The aim of this paper is to give a characterization of the second
more » ... n of the second class in terms of some properties known to hold for these hereditary categories.
doi:10.1090/s0002-9939-01-06159-7 fatcat:nqbtz47n55h6ri2l25ww7ov7zu