Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polar degrees and closest points in codimension two   Suppose that $X_A\subset \mathbb{P}^{n-1}$ is a toric variety of codimension
two defined by an $(n-2)\times n$ integer matrix $A$, and let $B$ be a Gale
dual of $A$. In this paper we compute the Euclidean distance degree and polar
degrees of $X_A$ (along with other associated invariants) combinatorially
working from the matrix $B$. Our approach allows for the consideration of
examples that would be impractical using algebraic or geometric methods. It
also yields considerably simpler computational formulas for these invariants,
allowing much larger examples to be computed much more quickly than the
analogous combinatorial methods using the matrix $A$ in the codimension two
case.

1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph