Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Bernstein result and counterexample for entire solutions to
  Donaldson's equation   We show that convex entire solutions to Donaldson's equation are quadratic,
using a result of Weiyong He. We also exhibit entire solutions to the Donaldson
equation that are not of the form discussed by He. In the process we discover
some non-trivial entire solutions to complex Monge-Amp\`{e}re equations.

13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: stat