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20102026
most citedGalois theory for general systems of polynomial equations

23 citations · 32 across the 13 of their papers we have counts for

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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…

math.CO2012

Systems of equations with a single solution

Alexander Esterov, Gleb Gusev

We classify general systems of polynomial equations with a single solution, or, equivalently, collections of lattice polytopes of minimal positive mixed volume. As a byproduct, thi…

math.CO2012

Multiplicities of degenerations of matrices and mixed volumes of Cayley polyhedra

Alexander Esterov

Using a certain Pick-type formula for the mixed volume of Cayley polyhedra, we compute the multiplicity of the isolated common zero of the maximal minors for a matrix of generic ho…