Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Octanomial Model for Cubic Surfaces   We present a new normal form for cubic surfaces that is well suited for
p-adic geometry, as it reveals the intrinsic del Pezzo combinatorics of the 27
trees in the tropicalization. The new normal form is a polynomial with eight
terms, written in moduli from the E6 hyperplane arrangement. If such a surface
is tropically smooth then its 27 tropical lines are distinct. We focus on
explicit computations, both symbolic and p-adic numerical.

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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
24
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: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol