3 papers
math.AG2026
Components of discriminants for systems of equations and irreducibility of determinants
Vladislav Pokidkin
The discriminant of a multivariate polynomial with indeterminate coefficients is not necessarily a hypersurface, and characterizing its codimension was an open problem for quite a…
math.AG2026
Irreducibility of determinants, and Esterov's conjecture on -discriminants
Vladislav Pokidkin
In the space of square matrices, we characterize row-generated subspaces, on which the determinant is an irreducible polynomial. As a corollary, we characterize square systems of p…
math.CO2026
Combinatorics behind discriminants of polynomial systems
Vladislav Pokidkin
We develop certain combinatorial tools for the study of discriminants of general systems of polynomial equations. Applying these tools in a sequel paper, we completely classify com…