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arXiv · 1303.0266

Elimination for generic sparse polynomial systems

Abstract

We present a new probabilistic symbolic algorithm that, given a variety defined in an n-dimensional affine space by a generic sparse system with fixed supports, computes the Zariski closure of its projection to an l-dimensional coordinate affine space with l < n. The complexity of the algorithm depends polynomially on combinatorial invariants associated to the supports.

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María Isabel Herrero, Gabriela Jeronimo, Juan Sabia. 2013-03-01. Elimination for generic sparse polynomial systems. https://arxiv.org/abs/1303.0266

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