Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohen-Macaulay modules over the algebra of planar quasi-invariants and
  Calogero-Moser systems   In this paper, we study properties of the algebras of planar
quasi-invariants. These algebras are Cohen-Macaulay and Gorenstein in
codimension one. Using the technique of matrix problems, we classify all
Cohen-Macaulay modules of rank one over them and determine their Picard groups.
In terms of this classification, we describe the spectral modules of the planar
rational Calogero-Moser systems. Finally, we elaborate the theory of the
algebraic inverse scattering method, computing a new unexpected explicit
example of a deformed Calogero-Moser system.

8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th