Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Lu Qi-Keng Conjecture Fails Generically   The bounded domains of holomorphy in~$\mathbf{C}^n$ whose Bergman kernel
functions are zero-free form a nowhere dense subset (with respect to a variant
of the Hausdorff distance) of all bounded domains of holomorphy.

21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an