General sheaves over weighted projective lines
Tom 113 / 2008
Colloquium Mathematicum 113 (2008), 119-149
MSC: Primary 14H60; Secondary 16G20.
DOI: 10.4064/cm113-1-8
Streszczenie
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.
