General sheaves over weighted projective lines

William Crawley-Boevey
2008 Colloquium Mathematicum  
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
more » ... tting, involving a hereditary abelian category.
doi:10.4064/cm113-1-8 fatcat:czryaakhbras3avawh7iryvohq