Systems of equations with a single solution

Alexander Esterov (1) , Gleb Gusev (2)

1 NRU HSE, faculty of mathematics
2 MIPT

We classify generic systems of polynomial equations with a single solution, or, equivalently, collections of lattice polytopes of minimal positive mixed volume. As a byproduct, this classification provides an algorithm to evaluate the single solution of such a system.

Domaines: Géométrie algébrique [math.AG]

Alexander Esterov, Gleb Gusev. Systems of equations with a single solution. MEGA'2013 (Special Issue), Jun 2013, Frankfurt am Main, Allemagne. ⟨hal-01022883⟩