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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.AG2025
Algebraic Varieties in Second Quantization
Svala Sverrisdóttir
We develop an algebraic geometric framework for Fock space coupled cluster theory in second quantization. In quantum chemistry, many-electron states are represented as elements of…
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…