Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Thomae-like Formula: Algebraic Computations of Theta Constants   We give an algebraic method to compute the fourth power of the quotient of
any even theta constants associated to a given non-hyperelliptic curve in terms
of geometry of the curve. In order to apply the method, we work out
non-hyperelliptic curves of genus 4, in particular, such curves lying on a
singular quadric, which arise from del Pezzo surfaces of degree 1. Indeed, we
obtain a complete 2-level structure of the curves by studying their theta
characteristic divisors via exceptional divisors of the del Pezzo surfaces as
the structure is required for the method.

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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: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs