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math.AC2024
Gram Matrices for Isotropic Vectors
Yassine El Maazouz, Bernd Sturmfels, Svala Sverrisdóttir
We investigate determinantal varieties for symmetric matrices that have zero blocks along the main diagonal. In theoretical physics, these arise as Gram matrices for kinematic vari…
math.AC2023★ 1 cited
Coupled Cluster Degree of the Grassmannian
Viktoriia Borovik, Bernd Sturmfels, Svala Sverrisdóttir
We determine the number of complex solutions to a nonlinear eigenvalue problem on the Grassmannian in its Plücker embedding. This is motivated by quantum chemistry, where it repres…