Publikation:

Spaces of sums of powers and real rank boundaries

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2018

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Moon, Hyunsuk

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http://nbn-resolving.de/urn:nbn:de:bsz:352-2-1ptl5x574jv2o9
DOI (zitierfähiger Link)
https://doi.org/10.1007/s13366-018-0388-4
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CC BY 4.0

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Mathematik und Statistik: Publikationen
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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/s13366-018-0388-4

Zusammenfassung

We 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))).

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Space of sums of powers, Waring decomposition, Real rank, Variety of sums of powers

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ISO 690MICHALEK, 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/s13366-018-0388-4
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}
}
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