%0 Journal Article %T Non-left-complete derived categories %A Amnon Neeman %J Mathematics %D 2011 %I arXiv %X We give some examples of abelian categories A for which the derived category D(A) is not left-complete. Perhaps the most natural of these is where A is the category of representations of the additive group G_a over a field k of characteristic p>0. %U http://arxiv.org/abs/1103.5539v1