Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Secant Degree of Toric Surfaces and Delightful Planar Toric
  Degenerations   The $k$-secant degree is studied with a combinatorial approach. A planar
toric degeneration of any projective toric surface $X$ corresponds to a regular
unimodular triangulation $D$ of the polytope defining $X$. If the secant ideal
of the initial ideal with respect to $D$ coincides with the initial ideal of
the secant ideal, then $D$ is said to be delightful and the $k$-secant degree
of $X$ can be easily computed. All delightful triangulations of toric surfaces
having sectional genus $g\leq1$ are completely classified and, for $g\geq2$, a
lower bound for the $2$- and $3$-secant degree, by means of the combinatorial
geometry and the singularities of non-delightful triangulations, is
established.

12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph