Charu Goel

activity

20152026

most citedThe analogue of Hilbert's 1888 theorem for Even Symmetric Forms

14 citations · 14 across the 7 of their papers we have counts for

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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…

math.AG2024

A Refinement of Hilbert's 1888 Theorem: Separating Cones along the Veronese Variety

Charu Goel, Sarah Hess, Salma Kuhlmann

For $n, d \in N$ , the cone $P_{n + 1, 2 d}$ of positive semi-definite (PSD) $(n + 1)$ -ary $2 d$ -ic forms (i.e., homogeneous polynomials with real coefficients in $n + 1$ var…

math.AG2023

Intermediate Cones between the Cones of Positive Semidefinite Forms and Sums of Squares

Charu Goel, Sarah Hess, Salma Kuhlmann

The cone $P_{n + 1, 2 d}$ ( $n, d \in N$ ) of all positive semidefinite (PSD) real forms in $n + 1$ variables of degree $2 d$ contains the subcone $Σ_{n + 1, 2 d}$ of those that…

math.AG2015★ 14 cited

The analogue of Hilbert's 1888 theorem for Even Symmetric Forms

Charu Goel, Salma Kuhlmann, Bruce Reznick

Hilbert proved in 1888 that a positive semidefinite (psd) real form is a sum of squares (sos) of real forms if and only if $n = 2$ or $d = 1$ or $(n, 2 d) = (3, 4)$ , where $n$ is the number…

math.AG2015

On the Choi-Lam analogue of Hilbert's 1888 theorem for Symmetric Forms

Charu Goel, Salma Kuhlmann, Bruce Reznick

A famous theorem of Hilbert from 1888 states that a positive semidefinite (psd) real form is a sum of squares (sos) of real forms if and only if $n = 2$ or $d = 1$ or $(n, 2 d) = (3, 4)$ , w…