Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hilbert functions and tensor analysis   We show how well known tools of algebraic geometry for the study of finite
sets can be fruitfully applied to the study of Waring decompositions of
symmetric tensors (forms). We mainly focus on the uniqueness of a given
decomposition (the identifiability problem), and show how, in some cases, one
can effectively determine the uniqueness even in some range in which the
Kruskal's criterion does not apply.

9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat