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math.AG2026
The Euler Stratification for
Serkan Hoşten, Vadym Kurylenko, Elke Neuhaus +1
We study the Euler characteristic of a hypersurface in defined by a polynomial whose monomial support corresponds to lattice points in $Δ…
math.AG2025
Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties
Viktoriia Borovik, Hannah Friedman, Serkan Hoşten +1
We study energy minimization problems in quantum chemistry through the lens of computational algebraic geometry. We focus on minimizing the Rayleigh quotient of a Hamiltonian over…
math.AG2024
Degrees of the Wasserstein Distance to Small Toric Models
Greg DePaul, Serkan Hoşten, Nilava Metya +1
The study of the closest point(s) on a statistical model from a given distribution in the probability simplex with respect to a fixed Wasserstein metric gives rise to a polyhedral…