Geodesic
Gluing complexes of sheaves
Documenta mathematica, Tome 29 (2024) no. 5, pp. 1201-1218
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We prove two variations of the classical gluing result of Beilinson–Bernstein–Deligne. We recast the problem of gluing in terms of filtered complexes in the total topos of a D-topos, in the sense of SGA 4, and prove our results using the filtered derived category.
DOI : 10.4171/dm/961
Classification : 18F20, 18F10
Mots-clés : derived categories, filtered derived category, BBD gluing 
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     author = {Martin Olsson},
     title = {Gluing complexes of sheaves},
     journal = {Documenta mathematica},
     pages = {1201--1218},
     year = {2024},
     volume = {29},
     number = {5},
     doi = {10.4171/dm/961},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/961/}
}
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Martin Olsson. Gluing complexes of sheaves. Documenta mathematica, Tome 29 (2024) no. 5, pp. 1201-1218. doi: 10.4171/dm/961

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