Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular equivalences of commutative noetherian rings and reconstruction
  of singular loci   Two left noetherian rings $R$ and $S$ are said to be {\it singularly
equivalent} if their singularity categories are equivalent as triangulated
categories. The aim of this paper is to give a necessary condition for two
commutative noetherian rings to be singularly equivalent. To do this, we
develop the support theory for triangulated categories without tensor
structure.

1
The categories of this paper are: cs
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org