Publikation: Collineation varieties of tensors
Lade...
Dateien
Datum
2026
Autor:innen
Gesmundo, Fulvio
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
item.preview.dc.identifier.eissn
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
DOI (zitierfähiger Link)
item.preview.dc.identifier.arxiv
Internationale Patentnummer
Link zur Lizenz
Angaben zur Forschungsförderung
Deutsche Forschungsgemeinschaft (DFG): 467575307
Projekt
Open Access-Veröffentlichung
Open Access Hybrid
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Collectanea Mathematica. Springer. 2026, 77(1), S. 257-277. ISSN 0010-0757. eISSN 2038-4815. Verfügbar unter: doi: 10.1007/s13348-025-00467-x
Zusammenfassung
In this article, we introduce the k-th collineation variety of a third order tensor. This is the closure of the image of the rational map of size k minors of a matrix of linear forms associated to the tensor. We classify such varieties in the case of pencils of matrices, and nets of matrices of small size. We discuss the natural stratification of tensor spaces induced by the invariants and the geometric type of the collineation varieties.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
GESMUNDO, Fulvio, Hanieh KENESHLOU, 2026. Collineation varieties of tensors. In: Collectanea Mathematica. Springer. 2026, 77(1), S. 257-277. ISSN 0010-0757. eISSN 2038-4815. Verfügbar unter: doi: 10.1007/s13348-025-00467-xBibTex
@article{Gesmundo2026-01Colli-72210,
title={Collineation varieties of tensors},
year={2026},
doi={10.1007/s13348-025-00467-x},
number={1},
volume={77},
issn={0010-0757},
journal={Collectanea Mathematica},
pages={257--277},
author={Gesmundo, Fulvio and Keneshlou, Hanieh}
}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/123456789/72210">
<dcterms:title>Collineation varieties of tensors</dcterms:title>
<dc:language>eng</dc:language>
<dcterms:issued>2026-01</dcterms:issued>
<bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/72210"/>
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/72210/1/Gesmundo_2-cta1sql88ndj2.pdf"/>
<dc:contributor>Gesmundo, Fulvio</dc:contributor>
<dc:creator>Gesmundo, Fulvio</dc:creator>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dc:creator>Keneshlou, Hanieh</dc:creator>
<dcterms:abstract>In this article, we introduce the k-th collineation variety of a third order tensor. This is the closure of the image of the rational map of size k minors of a matrix of linear forms associated to the tensor. We classify such varieties in the case of pencils of matrices, and nets of matrices of small size. We discuss the natural stratification of tensor spaces induced by the invariants and the geometric type of the collineation varieties.</dcterms:abstract>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-02-07T09:12:22Z</dc:date>
<dc:contributor>Keneshlou, Hanieh</dc:contributor>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-02-07T09:12:22Z</dcterms:available>
<dc:rights>Attribution 4.0 International</dc:rights>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/72210/1/Gesmundo_2-cta1sql88ndj2.pdf"/>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<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
Ja
Begutachtet
Ja
