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math.AG2026
Ulrich sheaves and determinantal representations for higher secant varieties of curves
Daniele Agostini, Mario Kummer, Jinhyung Park
We show that higher secant varieties of smooth projective curves have symmetric admissible determinantal representations with symmetric Ulrich sheaves of rank one if the embedding…
math.AG2025
Two results on the Convex Algebraic Geometry of sets with continuous symmetries
Renato G. Bettiol, Mario Kummer, Ricardo A. E. Mendes
We prove two results on convex subsets of Euclidean spaces invariant under an orthogonal group action. First, we show that invariant spectrahedra admit an equivariant spectrahedral…
math.AG2025
Totally real divisors on curves
Lorenzo Baldi, Mario Kummer, Daniel Plaumann
Since the works of Krasnov and Scheiderer, there has been an interest in studying effective totally real divisors on a curve X defined over a real closed field, i.e., effective div…