Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Amoeba-shaped polyhedral complex of an algebraic hypersurface   Given a complex algebraic hypersurface~$H$, we introduce a polyhedral complex
which is a subset of the Newton polytope of the defining polynomial for~$H$ and
enjoys the key topological and combinatorial properties of the amoeba of~$H.$
We provide an explicit formula for this polyhedral complex in the case when the
spine of the amoeba is dual to a triangulation of the Newton polytope of the
defining polynomial. In particular, this yields a description of the polyhedral
complex when the hypersurface is optimal.

36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys