3 papers
math.AG2026
Permuting the roots of univariate polynomials whose coefficients depend on parameters
Alexander Esterov, Lionel Lang
We address two interrelated problems concerning the permutation of roots of univariate polynomials whose coefficients depend on parameters. First, we compute the Galois group of po…
math.AG2025
Bernstein-Kouchnirenko-Khovanskii with a symmetry
Alexander Esterov, Lionel Lang
A generic polynomial f(x,y,z) with a prescribed Newton polytope defines a symmetric spatial curve f(x,y,z)=f(y,x,z)=0. We study its geometry: the number, degree and genus of its ir…
math.CO2024
Basecondary polytopes
Alexander Esterov, Arina Voorhaar
Many (if not most) of convex polytopes, important for combinatorial and algebraic geometry, are closely related to secondary polytopes of point configurations, or base polytopes of…