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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.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…