Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real submanifolds of maximum complex tangent space at a CR singular
  point, I   We study a germ of real analytic n-dimensional submanifold of C n that has a
complex tangent space of maximal dimension at a CR singularity. Under some
assumptions , we show its equivalence to a normal form under a local
biholomorphism at the singularity. We also show that if a real submanifold is
formally equivalent to a quadric, it is actually holomorphically equivalent to
it, if a small divisors condition is satisfied. Finally, we investigate the
existence of a complex submanifold of positive dimension in C n that intersects
a real submanifold along two totally and real analytic submanifolds that
intersect transversally at a possibly non-isolated CR singularity.

12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess