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Constructing double-exponential number of vectors of multipilicities of solutions of polynomial systems

Constructing double-exponential number of vectors of multipilicities of solutions of polynomial systems

In GV] it was proved an upper bound d O((n+d n)) on the number of vectors of multiplicities of the solutions of systems of the form g 1 = = g n = 0 (provided, it has a nite number of solutions) of polynomials g 1 ; : : : …