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Showing 2006 · cs.SCShow all
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cs.SC2006
Reduction of Algebraic Parametric Systems by Rectification of their Affine Expanded Lie Symmetries
Alexandre Sedoglavic
Lie group theory states that knowledge of a -parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by the number of equatio…
cs.SC2006★ 1 cited
Explicit factors of some iterated resultants and discriminants
Laurent Busé, Bernard Mourrain
In this paper, the result of applying iterative univariate resultant constructions to multivariate polynomials is analyzed. We consider the input polynomials as generic polynomials…
cs.SC2006★ 9 cited
Strong bi-homogeneous Bézout theorem and its use in effective real algebraic geometry
Mohab Safey El Din, Philippe Trebuchet
Let f1, ..., fs be a polynomial family in Q[X1,..., Xn] (with s less than n) of degree bounded by D. Suppose that f1, ..., fs generates a radical ideal, and defines a smooth algebr…