%0 Journal Article %T Expansions of abelian categories %A Xiao-Wu Chen %A Henning Krause %J Mathematics %D 2010 %I arXiv %X Expansions of abelian categories are introduced. These are certain functors between abelian categories and provide a tool for induction/reduction arguments. Expansions arise naturally in the study of coherent sheaves on weighted projective lines; this is illustrated by various applications. %U http://arxiv.org/abs/1009.3456v1