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math.AG2024
Proudfoot-Speyer degenerations of scattering equations
Barbara Betti, Viktoriia Borovik, Simon Telen
We study scattering equations of hyperplane arrangements from the perspective of combinatorial commutative algebra and numerical algebraic geometry. We formulate the problem as lin…
math.AG2024
Additive actions on projective hypersurfaces with a finite number of orbits
Viktoriia Borovik, Alexander Chernov, Anton Shafarevich
An induced additive action on a projective variety is a regular action of the group on with an open orbit, which can be extended to…
math.AC2024
SAGBI and Gröbner Bases Detection
Viktoriia Borovik, Timothy Duff, Elima Shehu
We introduce a detection algorithm for SAGBI basis in polynomial rings, analogous to a Gröbner basis detection algorithm previously proposed by Gritzmann and Sturmfels. We also pre…