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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 , the cone of positive semi-definite (PSD) -ary -ic forms (i.e., homogeneous polynomials with real coefficients in var…