On the stratification of secant varieties of Veronese varieties via symmetric rank
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چکیده
When considering σr(X), the variety of r-secant P r−1 to a projective variety X, one question which arises is what are the possible values of the X-rank of points on σr(X), apart from the generic value r? This geometric problem is of particular relevance (also for Applied Math) when X is a variety parameterizing some kind of tensors. We study here the case when X is a Veronese variety (i.e. the case of symmetric tensors). We find the complete description of the rank strata in some cases, and we give algorithms which compute the symmetric rank.
منابع مشابه
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تاریخ انتشار 2009