Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the uniqueness of $(p,h)$-gonal automorphisms of Riemann surfaces   Let $X$ be a compact Riemann surface of genus $g\geq 2$. A cyclic subgroup of
prime order $p$ of $Aut(X)$ is called properly $(p,h)$-gonal if it has a fixed
point and the quotient surface has genus $h$. We show that if $p>6h+6$, then a
properly $(p,h)$-gonal subgroup of $Aut(X)$ is unique. We also discuss some
related results.

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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: nlin