[GS_M_AG] On the Geometry of the Rank 3 Loci of Veronese Embeddings
ABSTRACT
The decomposition of homogeneous polynomials into sums of powers is a classical problem in algebraic geometry. In this talk, we revisit established results on Waring rank and secant varieties, focusing particularly on quadratic rank. Our results provide a detailed characterization of the rank 3 loci of Veronese embeddings, for which the validity of property QR(3) has recently been fully established in all characteristics.
