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math.CO2025
Varieties of Lines in 3-Space
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi +1
We consider configurations of lines in 3-space with incidences prescribed by a graph. This defines a subvariety in a product of Grassmannians. Leveraging a connection with rigidity…
math.AC2025
Squared Linear Models
Hannah Friedman, Bernd Sturmfels, Maximilian Wiesmann
We study statistical models that are parametrized by squares of linear forms. All critical points of the likelihood function are real and positive. There is one critical point in e…
math.AC2025
The Likelihood Correspondence
Thomas Kahle, Hal Schenck, Bernd Sturmfels +1
An arrangement of hypersurfaces in projective space is strict normal crossing (SNC) if and only if its Euler discriminant is nonzero. We study the critical loci of arbitrary Lauren…