Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The space of solutions to the Hessian one equation in the finitely
  punctured plane   We construct the space of solutions to the elliptic Monge-Ampere equation
det(D^2 u)=1 in the plane R^2 with n points removed. We show that, modulo
equiaffine transformations and for n>1, this space can be seen as an open
subset of R^{3n-4}, where the coordinates are described by the conformal
equivalence classes of once punctured bounded domains in the complex plane of
connectivity n-1. This approach actually provides a constructive procedure that
recovers all such solutions to the Monge-Ampere equation, and generalizes a
theorem by K. Jorgens.

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The categories of this paper are: cs
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: physics
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int