Publikation:

Computing images of polynomial maps

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Datum

2019

Autor:innen

Harris, Corey
Sertöz, Emre Can

Herausgeber:innen

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URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1whkbv4xfo1mk9
DOI (zitierfähiger Link)
https://doi.org/10.1007/s10444-019-09715-8
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CC BY 4.0

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Open Access-Veröffentlichung
Open Access Hybrid

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Mathematik und Statistik: Publikationen
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Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
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Published

Erschienen in

Advances in Computational Mathematics. Springer. 2019, 45(5-6), pp. 2845-2865. ISSN 1019-7168. eISSN 1572-9044. Available under: doi: 10.1007/s10444-019-09715-8

Zusammenfassung

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.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Polynomial maps, Constructible set, Matrix product states

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ISO 690HARRIS, Corey, Mateusz MICHALEK, Emre Can SERTÖZ, 2019. Computing images of polynomial maps. In: Advances in Computational Mathematics. Springer. 2019, 45(5-6), pp. 2845-2865. ISSN 1019-7168. eISSN 1572-9044. Available under: doi: 10.1007/s10444-019-09715-8
BibTex
@article{Harris2019-12Compu-52467,
  year={2019},
  doi={10.1007/s10444-019-09715-8},
  title={Computing images of polynomial maps},
  number={5-6},
  volume={45},
  issn={1019-7168},
  journal={Advances in Computational Mathematics},
  pages={2845--2865},
  author={Harris, Corey and Michalek, Mateusz and Sertöz, Emre Can}
}
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