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math.AG2026
Eigenvector Varieties
Sandra Di Rocco, Bernd Sturmfels, Svala Sverrisdóttir
Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvec…
math.AG2024
Kinematic Varieties for Massless Particles
Smita Rajan, Svala Sverrisdóttir, Bernd Sturmfels
We study algebraic varieties that encode the kinematic data for massless particles in -dimensional spacetime subject to momentum conservation. Their coordinates are spinor b…
math.AG2024
The Two Lives of the Grassmannian
Karel Devriendt, Hannah Friedman, Bernhard Reinke +1
The real Grassmannian is both a projective variety (via Plücker coordinates) and an affine variety (via orthogonal projections). We connect these two representations, and we develo…