Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: LCK metrics on toric LCS manifolds   We show a bijective correspondence between compact toric locally conformally
symplectic manifolds which admit a compatible complex structure and pairs
$(C,a)$, where $C$ is a good cone in the dual Lie algebra of the torus and $a$
is a positive real number. Moreover, we prove that any toric locally
conformally K\"ahler metric on a compact manifold admits a positive potential.

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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph