Geodesic
Recollements induced by good (co)silting dg-modules
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 2, pp. 453-473

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let $U$ be a dg-$A$-module, $B$ the endomorphism dg-algebra of $U$. We know that if $U$ is a good silting object, then there exist a dg-algebra $C$ and a recollement among the derived categories ${\mathbf D}(C,d)$ of $C$, ${\mathbf D}(B,d)$ of $B$ and ${\mathbf D}(A,d)$ of $A$. We investigate the condition under which the induced dg-algebra $C$ is weak nonpositive. In order to deal with both silting and cosilting dg-modules consistently, the notion of weak silting dg-modules is introduced. Thus, similar results for good cosilting dg-modules are obtained. Finally, some applications are given related to good 2-term silting complexes, good tilting complexes and modules.\looseness -1
DOI : 10.21136/CMJ.2023.0372-21
Classification : 16D90, 16E45, 18G80
Keywords: silting object; dg-algebra; cosilting dg-module; recollement 
@article{10_21136_CMJ_2023_0372_21,
     author = {Zhu, Rongmin and Wei, Jiaqun},
     title = {Recollements induced by good (co)silting dg-modules},
     journal = {Czechoslovak Mathematical Journal},
     pages = {453--473},
     publisher = {mathdoc},
     volume = {73},
     number = {2},
     year = {2023},
     doi = {10.21136/CMJ.2023.0372-21},
     mrnumber = {4586904},
     zbl = {07729517},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0372-21/}
}
TY  - JOUR
AU  - Zhu, Rongmin
AU  - Wei, Jiaqun
TI  - Recollements induced by good (co)silting dg-modules
JO  - Czechoslovak Mathematical Journal
PY  - 2023
SP  - 453
EP  - 473
VL  - 73
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0372-21/
DO  - 10.21136/CMJ.2023.0372-21
LA  - en
ID  - 10_21136_CMJ_2023_0372_21
ER  - 
%0 Journal Article
%A Zhu, Rongmin
%A Wei, Jiaqun
%T Recollements induced by good (co)silting dg-modules
%J Czechoslovak Mathematical Journal
%D 2023
%P 453-473
%V 73
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0372-21/
%R 10.21136/CMJ.2023.0372-21
%G en
%F 10_21136_CMJ_2023_0372_21
Zhu, Rongmin; Wei, Jiaqun. Recollements induced by good (co)silting dg-modules. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 2, pp. 453-473. doi: 10.21136/CMJ.2023.0372-21

Cité par Sources :