V. Borovik

collaborators

9 papers

math.AG2026

Degenerating Discriminants

Viktoriia Borovik, Clara Briand

We study the behavior of projective dual varieties and discriminants under flat degenerations. For GrÃ¶bner degenerations, we show that the conormal variety admits a GrÃ¶bner degen…

math.AG2026

Numerical Algebraic Geometry for Energy Computations on Tensor Train Varieties

Viktoriia Borovik, Hannah Friedman, Serkan HoÅten +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.CO2026

Constraining Conformal Correlators

Viktoriia Borovik, Claire de Korte, Nathan Meurrens +1

We study the space of conformally covariant $n$ -point functions of spinning operators using methods from invariant theory, commutative algebra, and combinatorics. We show that the…

math.AC2026

Elimination ideals of PlÃ¼cker ideals and algebras with straightening laws

Viktoriia Borovik, Takayuki Hibi

It is well known that the PlÃ¼cker ideal defining the Grassmannian is generated by quadratic PlÃ¼cker relations. These relations form a reverse lexicographic GrÃ¶bner basis and end…

math.CO2025

Graphical Scattering Equations

Barbara Betti, Viktoriia Borovik, Bella Finkel +2

The CHY scattering equations on the moduli space $M_{0, n}$ play a prominent role at the interface of particle physics and algebraic statistics. We study the scattering corresponden…

math.AG2025

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 $X \subseteq P^{n}$ is a regular action of the group $G_{a}^{m}$ on $X$ with an open orbit, which can be extended to…