The derived category of the projective line
Henning KrauseUniversität Bielefeld, Germany
Greg StevensonUniversity of Glasgow, UK
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In this chapter, we discuss the localising subcategories of the derived category of quasi-coherent sheaves on the projective line over a field. We provide a complete classification of all such subcategories which arise as the kernel of a cohomological functor to a Grothendieck category.