Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality of Multiple Root Loci   The multiple root loci among univariate polynomials of degree $n$ are indexed
by partitions of $n$. We study these loci and their conormal varieties. The
projectively dual varieties are joins of such loci where the partitions are
hooks. Our emphasis lies on equations and parametrizations that are useful for
Euclidean distance optimization. We compute the ED degrees for hooks. Among the
dual hypersurfaces are those that demarcate the set of binary forms whose real
rank equals the generic complex rank.

9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio