Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On holomorphic curves tangent to real hypersurfaces of infinite type   The purpose of this paper is to investigate the geometric properties of real
hypersurfaces of D'Angelo infinite type in ${\mathbb C}^n$. In order to
understand the situation of flatness of these hypersurfaces, it is natural to
ask whether there exists a nonconstant holomorphic curve tangent to a given
hypersurface to infinite order. A sufficient condition for this existence is
given by using Newton polyhedra,which is an important concept in singularity
theory. More precisely,equivalence conditions are given in the case of some
model hypersurfaces.

36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph