Real rank geometry of ternary forms

Cite This

Files in this item

Checksum: MD5:7cfc8c7acdb71d515145216b78608ef1

MICHALEK, Mateusz, Hyunsuk MOON, Bernd STURMFELS, Emanuele VENTURA, 2017. Real rank geometry of ternary forms. In: Annali di Matematica Pura ed Applicata. Springer. 196(3), pp. 1025-1054. ISSN 0373-3114. eISSN 1618-1891. Available under: doi: 10.1007/s10231-016-0606-3

@article{Michalek2017-06geome-52492, title={Real rank geometry of ternary forms}, year={2017}, doi={10.1007/s10231-016-0606-3}, number={3}, volume={196}, issn={0373-3114}, journal={Annali di Matematica Pura ed Applicata}, pages={1025--1054}, author={Michalek, Mateusz and Moon, Hyunsuk and Sturmfels, Bernd and Ventura, Emanuele} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:contributor>Michalek, Mateusz</dc:contributor> <dspace:hasBitstream rdf:resource=""/> <dc:date rdf:datatype="">2021-01-18T10:52:56Z</dc:date> <dcterms:rights rdf:resource=""/> <dc:creator>Sturmfels, Bernd</dc:creator> <dspace:isPartOfCollection rdf:resource=""/> <dcterms:abstract xml:lang="eng">We study real ternary forms whose real rank equals the generic complex rank, and we characterize the semialgebraic set of sums of powers representations with that rank. Complete results are obtained for quadrics and cubics. For quintics, we determine the real rank boundary: It is a hypersurface of degree 168. For quartics, sextics and septics, we identify some of the components of the real rank boundary. The real varieties of sums of powers are stratified by discriminants that are derived from hyperdeterminants.</dcterms:abstract> <dc:contributor>Moon, Hyunsuk</dc:contributor> <dcterms:isPartOf rdf:resource=""/> <dc:contributor>Sturmfels, Bernd</dc:contributor> <dc:language>eng</dc:language> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:creator>Michalek, Mateusz</dc:creator> <dc:rights>Attribution 4.0 International</dc:rights> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <bibo:uri rdf:resource=""/> <dc:contributor>Ventura, Emanuele</dc:contributor> <dcterms:hasPart rdf:resource=""/> <dc:creator>Moon, Hyunsuk</dc:creator> <dc:creator>Ventura, Emanuele</dc:creator> <dcterms:available rdf:datatype="">2021-01-18T10:52:56Z</dcterms:available> <dcterms:title>Real rank geometry of ternary forms</dcterms:title> <dcterms:issued>2017-06</dcterms:issued> </rdf:Description> </rdf:RDF>

Downloads since Jan 18, 2021 (Information about access statistics)

Michalek_2-86nr32tvcafl2.pdf 45

This item appears in the following Collection(s)

Attribution 4.0 International Except where otherwise noted, this item's license is described as Attribution 4.0 International

Search KOPS


My Account