On the Concept of k‐Secant Order of a Variety

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Refined methods for the identifiability of tensors (2013, unknown): “6 in [6] (it is a generalization of the “trisecant lemma”) that the linear space L ′′ does not meet X ′′ in other points.”
Non-defectivity of Grassmannians of planes (2009, background): “A geometric explanation of the defectivity of X = Gr(3; 7) is the following, inspired by [ CC2 ].”
Tensor decompositions, alternating least squares and other tales (2009, background): “Section 2.4). In fact, it has been proved that symmetric tensors of any order d ≥ 3 and of dimension 2 or 3 always have an essentially unique decomposition with probability 1 if their rank is strictly smaller than the generic rank [ 12 ].”