Geodesic
Classification of categorical subspaces of locally noetherian schemes
Documenta mathematica, Tome 20 (2015), pp. 1403-1465.

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Summary: We classify the prelocalizing subcategories of the category of quasi-coherent sheaves on a locally noetherian scheme. In order to give the classification, we introduce the notion of a local filter of subobjects of the structure sheaf. The essential part of the argument is given as results on a Grothendieck category with certain properties. We also classify the localizing subcategories, the closed subcategories, and the bilocalizing subcategories in terms of filters.
Classification : 18F20, 18E15, 16D90, 14A22, 13C05
Keywords: locally noetherian scheme, prelocalizing subcategory, localizing subcategory, closed subcategory, local filter 
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     author = {Kanda, Ryo},
     title = {Classification of categorical subspaces of locally noetherian schemes},
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     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a2/}
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Kanda, Ryo. Classification of categorical subspaces of locally noetherian schemes. Documenta mathematica, Tome 20 (2015), pp. 1403-1465. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a2/