Spaces of sums of powers and real rank boundaries

Kurzanzeige
dc.contributor.authorMichalek, Mateusz
dc.contributor.authorMoon, Hyunsuk
dc.date.accessioned2021-01-15T13:10:28Z
dc.date.available2021-01-15T13:10:28Z
dc.date.issued2018-11eng
dc.description.abstractWe investigate properties of Waring decompositions of real homogeneous forms. We study the moduli of real decompositions, so-called Space of Sums of Powers, naturally included in the Variety of Sums of Powers. Explicit results are obtained for quaternary quadrics, relating the algebraic boundary of SSP to various loci in the Hilbert scheme of four points in P3. Further, we study the locus of general real forms whose real rank coincides with the complex rank. In case of quaternary cubics the boundary of this locus is a degree forty hypersurface J(σ3(v3(P3)),τ(v3(P3))).eng
dc.description.versionpublishedeng
dc.identifier.doi10.1007/s13366-018-0388-4eng
dc.identifier.ppn1744767602
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/52472
dc.language.isoengeng
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectSpace of sums of powers, Waring decomposition, Real rank, Variety of sums of powerseng
dc.subject.ddc510eng
dc.titleSpaces of sums of powers and real rank boundarieseng
dc.typeJOURNAL_ARTICLEeng
dspace.entity.typePublication
kops.citation.bibtex
@article{Michalek2018-11Space-52472,
  year={2018},
  doi={10.1007/s13366-018-0388-4},
  title={Spaces of sums of powers and real rank boundaries},
  number={4},
  volume={59},
  issn={0138-4821},
  journal={Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry},
  pages={645--663},
  author={Michalek, Mateusz and Moon, Hyunsuk}
}
kops.citation.iso690MICHALEK, Mateusz, Hyunsuk MOON, 2018. Spaces of sums of powers and real rank boundaries. In: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. Springer. 2018, 59(4), pp. 645-663. ISSN 0138-4821. eISSN 2191-0383. Available under: doi: 10.1007/s13366-018-0388-4deu
kops.citation.iso690MICHALEK, Mateusz, Hyunsuk MOON, 2018. Spaces of sums of powers and real rank boundaries. In: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. Springer. 2018, 59(4), pp. 645-663. ISSN 0138-4821. eISSN 2191-0383. Available under: doi: 10.1007/s13366-018-0388-4eng
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source.periodicalTitleBeiträge zur Algebra und Geometrie / Contributions to Algebra and Geometryeng
source.publisherSpringereng

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