Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Angle deformation of K\"ahler-Einstein edge metrics on Hirzebruch
  surfaces   We construct a family of K\"ahler-Einstein edge metrics on all Hirzebruch
surfaces using the Calabi ansatz and study their angle deformation. This allows
us to verify in some special cases a conjecture of Cheltsov-Rubinstein that
predicts convergence towards a non-compact Calabi-Yau fibration in the small
angle limit. We also give an example of a K\"ahler-Einstein edge metric whose
edge singularity is rigid, answering a question posed by Cheltsov.

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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics