Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective reconstruction of generic genus 4 curves from their theta
  hyperplanes   Effective reconstruction formulas of a curve from its theta hyperplanes are
known classically in genus 2 (where the theta hyperplanes are Weierstrass
points), and 3 (where, for a generic curve, the theta hyperplanes are
bitangents to a plane quartic). However, for higher genera, no formula or
algorithm are known. In this paper we give an explicit (and simple) algorithm
for computing a generic genus 4 curve from it's theta hyperplanes.

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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci