Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Field of Generalised Puiseux Series for Tropical Geometry   In this paper we define a field K of characteristic zero with valuation whose
value group is the real numbers, and we show that this field of generalised
Puiseux series is algebraically closed and complete with respect to the norm
induced by its valuation. We consider this field to be a good candidate for the
base field for tropical geometry.

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The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin