Waring identifiability for powers of forms via degenerations

Author:

Casarotti Alex1ORCID,Postinghel Elisa1

Affiliation:

1. Dipartimento di Matematica Università degli Studi di Trento Povo di Trento (TN) Italy

Abstract

AbstractWe discuss an approach to the secant non‐defectivity of the varieties parametrising th powers of forms of degree . It employs a Terracini‐type argument along with certain degeneration arguments, some of which are based on toric geometry. This implies a result on the identifiability of the Waring decompositions of general forms of degree kd as a sum of th powers of degree forms, for which an upper bound on the Waring rank was proposed by Fröberg, Ottaviani and Shapiro.

Publisher

Wiley

Subject

General Mathematics

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