Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The projective space has maximal volume among all toric
  K\"ahler-Einstein manifolds   We prove a conjecture saying that complex projective space has maximal volume
(degree) among all toric Kaehler-Einstein manifolds of dimension n. The proof
is inspired by our recent work on sharp Moser-Trudinger and Brezis-Merle type
inequalities for the complex Monge-Ampere operator, but is essentially
self-contained.

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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: eess