Charu Goel

collaborators

3 papers

math.AG2024

Separating Cones defined by Toric Varieties: Some Properties and Open Problems

Charu Goel, Sarah Hess, Salma Kuhlmann

In 1888, Hilbert proved that the cone $P_{n + 1, 2 d}$ of positive semidefinite forms in $n + 1$ variables of degree $2 d$ coincides with its subcone $Σ_{n + 1, 2 d}$ of those forms…

math.NT2024

Sums of squares of k-term forms

Charu Goel, Bruce Reznick

In this paper we study the cones corresponding to sums of squares of $n$ -ary $d$ -ic forms with at most $k$ terms. We show that these are strictly nested as $k$ increases, leading t…

math.AG2024

On nonnegative invariant quartics in type A

Sebastian Debus, Charu Goel, Salma Kuhlmann +1

The equivariant nonnegativity versus sums of squares question has been solved for any infinite series of essential reflection groups but type A. As a first step to a classification…