Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New maximal curves as ray class fields over Deligne-Lusztig curves   We construct new covers of the Suzuki and Ree curves which are maximal with
respect to the Hasse-Weil bound over suitable finite fields. These covers are
analogues of the Giulietti-Korchm\'aros curve, which covers the Hermitian curve
and is maximal over a base field extension. We show that the maximality of
these curves implies that of certain ray class field extensions of each of the
Deligne-Lusztig curves. Moreover, we show that the Giulietti-Korchm\'aros curve
is equal to the above-mentioned ray class field extension of the Hermitian
curve.

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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph