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math.AG2013★ 23 cited
A Poisson formula for the sparse resultant
Carlos D'Andrea, Martin Sombra
We present a Poisson formula for sparse resultants and a formula for the product of the roots of a family of Laurent polynomials, which are valid for arbitrary families of supports…
math.AG2013
Overdetermined systems of sparse polynomial equations
Francesco Amoroso, Louis Leroux, Martin Sombra
We show that, for a system of univariate polynomials given in sparse encoding, we can compute a single polynomial defining the same zero set, in time quasi-linear in the logarithm…