Geodesic
Classification of categorical subspaces of locally noetherian schemes
Documenta mathematica, Tome 20 (2015), pp. 1403-1465
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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.
DOI : 10.4171/dm/522
Classification : 13C05, 14A22, 16D90, 18F20
Mots-clés : locally noetherian scheme, prelocalizing subcategory, localizing subcategory, closed subcategory, local filter 
@article{10_4171_dm_522,
     author = {Ryo Kanda},
     title = {Classification of categorical subspaces of locally noetherian schemes},
     journal = {Documenta mathematica},
     pages = {1403--1465},
     year = {2015},
     volume = {20},
     doi = {10.4171/dm/522},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/522/}
}
TY  - JOUR
AU  - Ryo Kanda
TI  - Classification of categorical subspaces of locally noetherian schemes
JO  - Documenta mathematica
PY  - 2015
SP  - 1403
EP  - 1465
VL  - 20
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/522/
DO  - 10.4171/dm/522
ID  - 10_4171_dm_522
ER  - 
%0 Journal Article
%A Ryo Kanda
%T Classification of categorical subspaces of locally noetherian schemes
%J Documenta mathematica
%D 2015
%P 1403-1465
%V 20
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/522/
%R 10.4171/dm/522
%F 10_4171_dm_522
Ryo Kanda. Classification of categorical subspaces of locally noetherian schemes. Documenta mathematica, Tome 20 (2015), pp. 1403-1465. doi: 10.4171/dm/522

Cité par Sources :