Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit Gromov-Hausdorff compactifications of moduli spaces of
  K\"ahler-Einstein Fano manifolds   We exhibit the first non-trivial concrete examples of Gromov-Hausdorff
compactifications of moduli spaces of K\"ahler-Einstein Fano manifolds in all
complex dimensions bigger than two (Fano K-moduli spaces). We also discuss
potential applications to explicit study of moduli spaces of K-stable Fano
manifolds with large anti-canonical volume. Our arguments are based on recent
progress about the geometry of metric tangent cones and on related ideas about
the algebro-geometric study of singularities of K-stable Fano varieties.

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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con