Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On obtaining the convex hull of quadratic inequalities via aggregations   A classical approach for obtaining valid inequalities for a set involves
weighted aggregations of the inequalities that describe such set. When the set
is described by linear inequalities, thanks to the Farkas lemma, we know that
every valid inequality can be obtained using aggregations. When the
inequalities describing the set are two quadratics, Yildiran showed that the
convex hull of the set is given by at most two aggregated inequalities. In this
work, we study the case of a set described by three or more quadratic
inequalities. We show that, under technical assumptions, the convex hull of a
set described by three quadratic inequalities can be obtained via (potentially
infinitely many) aggregated inequalities. We also show, through
counterexamples, that it is unlikely to have a similar result if either the
technical conditions are relaxed, or if we consider four or more inequalities.

18
The categories of this paper are: econ
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom