2023/01/12 by Alex Casarotti, Casarotti, Alex, Elisa Postinghel +1
Mathematics · Computer Science · #Tensor decomposition and applications #Advanced Algebra and Geometry #Coding theory and cryptography
paper · pdf · doi:10.48550/arxiv.2301.05276
We discuss an approach to the secant non-defectivity of the varieties parametrizing k-th powers of forms of degree d. 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 k-th powers of degree d forms, for which an upper bound on the Waring rank was proposed by Fröberg, Ottaviani and Shapiro.