Geodesic
Gluing complexes of sheaves
Documenta mathematica, Tome 29 (2024) no. 5, pp. 1201-1218

Voir la notice de l'article provenant de 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.
DOI : 10.4171/dm/961
Classification : 18F20, 18F10
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},
     publisher = {mathdoc},
     volume = {29},
     number = {5},
     year = {2024},
     doi = {10.4171/dm/961},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/961/}
}
TY  - JOUR
AU  - Martin Olsson
TI  - Gluing complexes of sheaves
JO  - Documenta mathematica
PY  - 2024
SP  - 1201
EP  - 1218
VL  - 29
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/961/
DO  - 10.4171/dm/961
ID  - 10_4171_dm_961
ER  - 
%0 Journal Article
%A Martin Olsson
%T Gluing complexes of sheaves
%J Documenta mathematica
%D 2024
%P 1201-1218
%V 29
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/961/
%R 10.4171/dm/961
%F 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

Cité par Sources :