Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness and Stability in $\mathcal E(X,\omega)$   We prove uniqueness for the Dirichlet problem for the complex Monge-Amp\`ere
equation on compact K\"ahler manifolds in the case of measures vanishing on
pluripolar sets. As a by-product we generalize Xing's stability theorem.

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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th