Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functorial tropicalization of logarithmic schemes: The case of constant
  coefficients   The purpose of this article is to develop foundational techniques from
logarithmic geometry in order to define a functorial tropicalization map for
fine and saturated logarithmic schemes in the case of constant coefficients.
Our approach crucially uses the theory of fans in the sense of K. Kato and
generalizes Thuillier's retraction map onto the non-Archimedean skeleton in the
toroidal case. For the convenience of the reader many examples as well as an
introductory treatment of the theory of Kato fans are included.

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The categories of this paper are: cs
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci