Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Amoebas, tropical varieties and compactification of Teichmuller spaces   In this paper we try to look at the compactification of Teichmuller spaces
from a tropical viewpoint. We describe a general construction for the
compactification of algebraic varieties, using their amoebas, and we describe
the boundary via tropical varieties. When we apply this construction to the
Teichmuller spaces we see that they can be mapped in a real algebraic
hypersurface in such a way that the cone over the boundary is a subpolyhedron
of a tropical hypersurface. We want to show how some properties of the boundary
becomes straightforward if looked at from this point of view. For example there
is a PL structure that appears naturally on the boundary, and it is shown to be
equivalent to the one defined by Thurston. Also we may see easily that every
polynomial relation among trace functions on Teichmuller space may be turned
automatically in a tropical relation among intersection forms over the
boundary.

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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int