Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expanded degenerations and pairs   Since Jun Li's original definition, several other definitions of expanded
pairs and expanded degenerations have appeared in the literature. We explain
how these definitions are related and introduce several new variants and
perspectives. Among these are the twisted expansions used by Abramovich and
Fantechi as a basis for orbifold techniques in degeneation formulas.

29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc