Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The moduli stack of stable relative ideal sheaves   In this paper, we propose a definition of the moduli stack of stable relative
ideal sheaves, and prove that it is a separated and proper Deligne-Mumford
stack. It is the first part of the project of relative Donaldson-Thomas theory
of ideal sheaves on projective threefolds, which in the end provides a
degeneration formula of Donaldson-Thomas invariants of threefolds.

14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga