General sheaves over weighted projective lines

• Autorzy: William Crawley-Boevey
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 14H60: Vector bundles on curves and their moduli
• 16G20: Representations of quivers and partially ordered sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 113
• Numer: 1
• Strony: 119-149

Daty

wydano

2008

Twórcy

autor

William Crawley-Boevey

• Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, UK

Identyfikatory

DOI

10.4064/cm113-1-8