Gluing complexes of sheaves
Documenta mathematica, Tome 29 (2024) no. 5, pp. 1201-1218
Cet article a éte moissonné depuis la source EMS Press
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.
Classification :
18F20, 18F10
Mots-clés : derived categories, filtered derived category, BBD gluing
Mots-clés : derived categories, filtered derived category, BBD gluing
@article{10_4171_dm_961,
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/}
}
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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