We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
2/2018
Computing images of polynomial maps
Corey Harris, Mateusz Michałek and Emre Can 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.
Received:
04.01.18
Published:
05.01.18
MSC Codes:
14Q15, 68U05, 15A69
Keywords:
image of an algebraic variety, matrix product state
Related publications
inJournal
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
