Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Newton Polytope of the Implicit Equation   We apply tropical geometry to study the image of a map defined by Laurent
polynomials with generic coefficients. If this image is a hypersurface then our
approach gives a construction of its Newton polytope.

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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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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: q-alg