Geodesic
On the derived category of sheaves on a manifold
Documenta mathematica, Tome 6 (2001), pp. 483-488
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Let M be a non-compact, connected manifold of dimension ≥1. Let D(sheaves/M) be the unbounded derived category of chain complexes of sheaves of abelian groups on M. We prove that D(sheaves/M) is not a compactly generated triangulated category, but is well generated.
DOI : 10.4171/dm/111
Classification : 55P99, 55U35
Mots-clés : triangulated categories, compactly generated, well generated 
@article{10_4171_dm_111,
     author = {Amnon Neeman},
     title = {On the derived category of sheaves on a manifold},
     journal = {Documenta mathematica},
     pages = {483--488},
     year = {2001},
     volume = {6},
     doi = {10.4171/dm/111},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/111/}
}
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Amnon Neeman. On the derived category of sheaves on a manifold. Documenta mathematica, Tome 6 (2001), pp. 483-488. doi: 10.4171/dm/111

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