Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A guide to tropicalizations   Tropicalizations form a bridge between algebraic and convex geometry. We
generalize basic results from tropical geometry which are well-known for
special ground fields to arbitrary non-archimedean valued fields. To achieve
this, we develop a theory of toric schemes over valuation rings of rank 1. As a
basic tool, we use techniques from non-archimedean analysis.

29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys