Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergent normal form and canonical connection for hypersurfaces of
  finite type in $\mathbb C^2$   We study the holomorphic equivalence problem for finite type hypersurfaces in
$\mathbb C^2$. We discover a geometric condition, which is sufficient for the
existence of a natural convergent normal form for a finite type hypersurface.
We also provide an explicit construction of such a normal form. As an
application, we construct a canonical connection for a large class of finite
type hypersurfaces. To the best of our knowledge, this gives the first
construction of an invariant connection for Levi-degenerate hypersurfaces in
$\mathbb C^2$.

0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas