Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Faltings delta-invariant and semistable degeneration   We determine the asymptotic behavior of the Arakelov metric, the
Arakelov-Green's function, and the Faltings delta-invariant for arbitrary
one-parameter families of complex curves with semistable degeneration. The
leading terms in the asymptotics are given a combinatorial interpretation in
terms of S. Zhang's theory of admissible Green's functions on polarized
metrized graphs.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga