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arXiv · 1801.00827

Computing images of polynomial maps

Corey Harris·Mateusz Michałek·Emre Can Sertöz
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Abstract

The image of a polynomial map is a constructible set. While computing its closure is standard in computer algebra systems, a procedure for computing the constructible set itself is not. We provide a new algorithm, based on algebro-geometric techniques, addressing this problem. We also apply these methods to answer a question of W. Hackbusch on the non-closedness of site-independent cyclic matrix product states for infinitely many parameters.

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Corey Harris, Mateusz Michałek, Emre Can Sertöz. 2018-01-02. Computing images of polynomial maps. https://doi.org/10.1007/s10444-019-09715-8

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