%0 Journal Article
%T General sheaves over weighted projective lines
%A William Crawley-Boevey
%J Mathematics
%D 2005
%I arXiv
%X We develop a theory of general sheaves over weighted projective lines. We define and study a canonical decomposition, analogous to Kac's canonical decomposition for representations of quivers, study subsheaves of a general sheaf, general ranks of morphisms, and prove analogues of Schofield's results on general representations of quivers. Using these, we give a recursive algorithm for computing properties of general sheaves. Many of our results are proved in a more abstract setting, involving a hereditary abelian category.
%U http://arxiv.org/abs/math/0512079v2