Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On K\"ahler conformal compactifications of $U(n)$-invariant ALE spaces   We prove that a certain class of ALE spaces always has a Kahler conformal
compactification, and moreover provide explicit formulas for the conformal
factor and the Kahler potential of said compactification. We then apply this to
give a new and simple construction of the canonical Bochner-K\"ahler metric on
certain weighted projective spaces, and also to explicitly construct a family
Kahler edge-cone metrics on $\mathbb{CP}^2$, with singular set $\mathbb{CP}^1$,
having cone angles $2\pi\beta$ for all $\beta>0$. We conclude by discussing how
these results can be used to obtain certain well-known Einstein metrics.

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The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
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The categories of this paper are: nlin
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs