Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"older regularity of generic manifold   In this paper we study H\"older continuity of the pluricomplex Green function
with logarithmic growth at infinity of a smooth generic submanifold of $\C^n$.
In particular we prove that the pluricomplex Green function of any $C^2$-smooth
generic compact submanifold of $\C^n$ (without boundary) is Lipschitz
continuous in $\C^n$.

8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga