General sheaves over weighted projective lines

William Crawley-Boevey. "General sheaves over weighted projective lines." Colloquium Mathematicae 113.1 (2008): 119-149. <http://eudml.org/doc/283460>.

@article{WilliamCrawley2008,
abstract = {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.},
author = {William Crawley-Boevey},
journal = {Colloquium Mathematicae},
keywords = {weighted projective lines; coherent sheaves; quivers; representation; canonical decomposition},
language = {eng},
number = {1},
pages = {119-149},
title = {General sheaves over weighted projective lines},
url = {http://eudml.org/doc/283460},
volume = {113},
year = {2008},
}

TY - JOUR
AU - William Crawley-Boevey
TI - General sheaves over weighted projective lines
JO - Colloquium Mathematicae
PY - 2008
VL - 113
IS - 1
SP - 119
EP - 149
AB - 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.
LA - eng
KW - weighted projective lines; coherent sheaves; quivers; representation; canonical decomposition
UR - http://eudml.org/doc/283460
ER -