Salma Kuhlmann

collaborators

4 papers

math.AG2026

Symmetric tensor decomposition on rational varieties

Matteo Bechere, Salma Kuhlmann, Bernard Mourrain

We study the Waring decomposition of symmetric tensors with nodes on a rational variety. We provide an explicit characterisation of the existence of such a decomposition under some…

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.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…