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.
Reference22 articles.
1. Singularixtés imposables en position générale á une hypersurface projective;Alexander J.;Compositio Math.,1988
2. La m�thode d'Horace �clat�e: application � l'interpolation en degr� quatre
3. Un lemme d'Horace différentiel: application aux singularités hyperquartiques de P5;Alexander J.;J. Algebraic Geom.,1992
4. Polynomial interpolation in several variables;Alexander J.;J. Algebraic Geom.,1995
5. Generic hypersurface singularities
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