Abstract:This paper presents an algorithm that decomposes an arbitrary set F of multivariate polynomials involving parameters into finitely many sets Γ i of (lexicographical) Gröbner bases G i j such that associated with each Γ i there is a system A i of parametric constraints, all the A i 's partition the parameter space, all the G i j 's in each Γ i remain Gröbner bases under specialization of the parameters satisfying the constraints in A i , and for each i the Gröbner bases G i j together with their corresponding W… Show more
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