Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tropical Independence I: Shapes of Divisors and a Proof of the
  Gieseker-Petri Theorem   We develop a framework to apply tropical and nonarchimedean analytic
techniques to multiplication maps on linear series and study degenerations of
these multiplications maps when the special fiber is not of compact type. As an
application, we give a tropical criterion for a curve over a valued field to be
Gieseker-Petri general.

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The categories of this paper are: dg-ga
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The categories of this paper are: eess
37
The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat