Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric sufficient conditions for compactness of the complex Green
  operator   We establish compactness estimates for $\bar{\partial}_{M}$ on a compact
pseudoconvex CR-submanifold $M$ of $\mathbb{C}^{n}$ of hypersurface type that
satisfies the (analogue of the) geometric sufficient conditions for compactness
of the $\bar{\partial}$-Neumann operator given by the authors earlier. These
conditions are formulated in terms of certain short time flows in complex
tangential directions.

19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs