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MiS Preprint

Computing images of polynomial maps

Corey Harris, Mateusz Michałek and Emre Sertöz


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.

Jan 4, 2018
Jan 5, 2018
MSC Codes:
14Q15, 68U05, 15A69
image of an algebraic variety, matrix product state

Related publications

2019 Journal Open Access
Corey Harris, Mateusz Michałek and Emre Can Sertöz

Computing images of polynomial maps

In: Advances in computational mathematics, 45 (2019) 5/6, pp. 2845-2865