Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recollements induced by good silting objects   Let $U$ be a silting object in a derived category over a dg-algebra $A$, and
let $B$ be the endomorphism dg-algebra of $U$. Under some appropriate
hypotheses, we show that if $U$ is good, then there exist a dg-algebra $C$, a
homological epimorphism $B\rightarrow C$ and a recollement among the
(unbounded) derived categories $\mathbf{D}(C,d)$ of $C$, $\mathbf{D}(B,d)$ of
$B$ and $\mathbf{D}(A,d)$ of $A$. In particular, the kernel of the left derived
functor $-\otimes^{\mathbb{L}}_{B}U$ is triangle equivalent to the derived
category $\mathbf{D}(C,d)$. Conversely, if $-\otimes^{\mathbb{L}}_{B}U$ admits
a fully faithful left adjoint functor, then $U$ is good. Moreover, we establish
a criterion for the existence of a recollement of the derived category of a
dg-algebra relative to two derived categories of weak non-positive dg-algebras.
Finally, some applications are given related to good cosilting objects, good
2-term silting complexes, good tilting complexes and modules, which recovers a
recent result by Chen and Xi.

21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an