Abstract
ABSTRACT Identifiability holds for the k-secant variety of an embedded variety if a general is in the linear span of a unique subset of X with cardinality k. Identifiability is true if the general tangential k-contact locus has dimension 0. Under certain assumptions on for some specific x>k, we get . Here we give some conditions which exclude the case a hypersurface for some x>k and get and hence identifiability for the k-secant variety. As an example we consider the case of Segre-Veronese embeddings of multiprojective spaces, in which the elements of corresponds to partially symmetric tensors.
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