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math.AG2026
Stubborn Polynomials
Lorenzo Baldi, Grigoriy Blekherman, Khazhgali Kozhasov +3
The relationship between nonnegative polynomials and sums of squares is a classical topic in real algebraic geometry. We study \emph{stubborn polynomials} on a real variety …
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…
math.AG2024
Plane quartics and heptagons
Daniele Agostini, Daniel Plaumann, Rainer Sinn +1
Every polygon with n vertices in the complex projective plane is naturally associated with its adjoint curve of degree n-3. Hence the adjoint of a heptagon is a plane quartic. We p…