Symmetric Powers : Structure, Smoothability, and Applications

Kurzanzeige
dc.contributor.authorFlavi, Cosimo
dc.contributor.authorJelisiejew, Joachim
dc.contributor.authorMichalek, Mateusz
dc.date.accessioned2025-10-07T06:16:40Z
dc.date.available2025-10-07T06:16:40Z
dc.date.issued2025-09-23
dc.description.abstractWe investigate border ranks of twisted powers of polynomials and smoothability of symmetric powers of algebras. We prove that the latter are smoothable. For the former, we obtain upper bounds for the border rank in general and prove that they are optimal under mild conditions. We give applications to complexity theory. Many of the results rest on the notion of an encompassing polynomial, which we introduce.
dc.description.versionpublisheddeu
dc.identifier.doi10.1093/imrn/rnaf277
dc.identifier.ppn1939668417
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/74685
dc.language.isoeng
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.ddc510
dc.titleSymmetric Powers : Structure, Smoothability, and Applicationseng
dc.typeJOURNAL_ARTICLE
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  number={18},
  volume={2025},
  issn={1073-7928},
  journal={International Mathematics Research Notices (IMRN)},
  author={Flavi, Cosimo and Jelisiejew, Joachim and Michalek, Mateusz},
  note={Article Number: rnaf277}
}
kops.citation.iso690FLAVI, Cosimo, Joachim JELISIEJEW, Mateusz MICHALEK, 2025. Symmetric Powers : Structure, Smoothability, and Applications. In: International Mathematics Research Notices (IMRN). Oxford University Press (OUP). 2025, 2025(18), rnaf277. ISSN 1073-7928. eISSN 1687-0247. Verfügbar unter: doi: 10.1093/imrn/rnaf277deu
kops.citation.iso690FLAVI, Cosimo, Joachim JELISIEJEW, Mateusz MICHALEK, 2025. Symmetric Powers : Structure, Smoothability, and Applications. In: International Mathematics Research Notices (IMRN). Oxford University Press (OUP). 2025, 2025(18), rnaf277. ISSN 1073-7928. eISSN 1687-0247. Available under: doi: 10.1093/imrn/rnaf277eng
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kops.sourcefield.plainInternational Mathematics Research Notices (IMRN). Oxford University Press (OUP). 2025, 2025(18), rnaf277. ISSN 1073-7928. eISSN 1687-0247. Available under: doi: 10.1093/imrn/rnaf277eng
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source.periodicalTitleInternational Mathematics Research Notices (IMRN)
source.publisherOxford University Press (OUP)

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