Spaces of sums of powers and real rank boundaries

Michalek, Mateusz; Moon, Hyunsuk

Spaces of sums of powers and real rank boundaries

Dateien

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Datum

2018

Autor:innen

Michalek, Mateusz

Moon, Hyunsuk

Open Access-Veröffentlichung

Open Access Hybrid

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen 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

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))).

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

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

Zitieren

ISO 690

MICHALEK, 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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