Publikation:

Computing images of polynomial maps

Vorschaubild

Dateien

Harris_2-1whkbv4xfo1mk9.pdf
Harris_2-1whkbv4xfo1mk9.pdfGröße: 1.22 MBDownloads: 537

Datum

2019

Autor:innen

Harris, Corey
Sertöz, Emre Can

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

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
ArXiv-ID

Internationale Patentnummer

Link zur Lizenz

CC BY 4.0

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Open Access Hybrid

Sammlungen

Mathematik und Statistik: Publikationen
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
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

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

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}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/52467">
    <dc:contributor>Harris, Corey</dc:contributor>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/52467"/>
    <dc:creator>Harris, Corey</dc:creator>
    <dc:creator>Michalek, Mateusz</dc:creator>
    <dc:contributor>Michalek, Mateusz</dc:contributor>
    <dc:language>eng</dc:language>
    <dc:creator>Sertöz, Emre Can</dc:creator>
    <dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
    <dc:rights>Attribution 4.0 International</dc:rights>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/52467/1/Harris_2-1whkbv4xfo1mk9.pdf"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-01-15T12:14:48Z</dc:date>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:title>Computing images of polynomial maps</dcterms:title>
    <dc:contributor>Sertöz, Emre Can</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-01-15T12:14:48Z</dcterms:available>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/52467/1/Harris_2-1whkbv4xfo1mk9.pdf"/>
    <dcterms:issued>2019-12</dcterms:issued>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by/4.0/"/>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Nein
Begutachtet
Ja
Diese Publikation teilen