Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quantization proof of the uniform Yau-Tian-Donaldson conjecture   Using quantization techniques, we show that the $\delta$-invariant of
Fujita-Odaka coincides with the optimal exponent in certain Moser-Trudinger
type inequality. Consequently we obtain a uniform Yau-Tian-Donaldson theorem
for the existence of twisted K\"ahler-Einstein metrics with arbitrary
polarizations. Our approach mainly uses pluripotential theory, which does not
involve Cheeger-Colding-Tian theory or the non-Archimedean language. A new
computable criterion for the existence of constant scalar curvature K\"ahler
metrics is also given.

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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess