Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A priori $L^{\infty}$-estimates for degenerate complex Monge-Amp\`ere
  equations   We study families of complex Monge-Amp\`ere equations, focusing on the case
where the cohomology classes degenerate to a non big class.
  We establish uniform a priori $L^{\infty}$-estimates for the normalized
solutions, generalizing the recent work of S. Kolodziej and G. Tian. This has
interesting consequences in the study of the K\"ahler-Ricci flow.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom