Geodesic
General sheaves over weighted projective lines
William Crawley-Boevey1
1 Department of Pure Mathematics University of Leeds Leeds LS2 9JT, UK
Colloquium Mathematicum, Tome 113 (2008) no. 1, pp. 119-149.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm113-1-8
Keywords: develop theory general sheaves weighted projective lines define study canonical decomposition analogous kacs canonical decomposition representations quivers study subsheaves general sheaf general ranks morphisms prove analogues schofields results general representations quivers using these recursive algorithm computing properties general sheaves many results proved abstract setting involving hereditary abelian category

William Crawley-Boevey 1

1 Department of Pure Mathematics University of Leeds Leeds LS2 9JT, UK 
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William Crawley-Boevey. General sheaves over weighted projective lines. Colloquium Mathematicum, Tome 113 (2008) no. 1, pp. 119-149. doi : 10.4064/cm113-1-8. http://geodesic.mathdoc.fr/articles/10.4064/cm113-1-8/

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