Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of Cauchy-Riemann manifolds and multisummability theory   We prove that if two real-analytic hypersurfaces in $\mathbb C^2$ are
equivalent formally, then they are also $C^\infty$ CR-equivalent at the
respective point. As a corollary, we prove that all formal equivalences between
real-algebraic Levi-nonflat hypersurfaces in $\mathbb C^2$ are algebraic (in
particular are convergent). The result is obtained by using the recent {\em CR
- DS technique}, connecting degenerate CR-manifolds and Dynamical Systems, and
employing subsequently the {\em multisummability theory} of divergent power
series used in the Dynamical Systems theory.

15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin