23 citations · 57 across the 35 of their papers we have counts for
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math.AG2007★ 1 cited
The Newton polygon of a rational plane curve
Carlos D'Andrea, Martin Sombra
The Newton polygon of the implicit equation of a rational plane curve is explicitly determined by the multiplicities of any of its parametrizations. We give an intersection-theoret…
math.AG2007★ 1 cited
A refinement of the Kushnirenko-Bernstein estimate
Patrice Philippon, Martin Sombra
A theorem of Kushnirenko and Bernstein shows that the number of isolated roots of a system of polynomials in a torus is bounded above by the mixed volume of the Newton polytopes of…