Partial stratification of secant varieties of Veronese varieties via curvilinear subschemes

Ballico, Edoardo ; Bernardi, Alessandra (2010) Partial stratification of secant varieties of Veronese varieties via curvilinear subschemes. [Preprint]
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We give a partial stratification of the secant varieties of the order $d$ Veronese variety of $\mathbb {P}^m$. We will focus on points lying on the span of curvilinear subschemes of Veronese varieties and we compute their symmetric rank for small border rank. We will also describe the structure of the Hilbert schemes of curvilinear subschemes of Veronese varieties.

Document type
Ballico, Edoardo
Bernardi, Alessandra
symmetric tensor rank; symmetric border rank; secant variety; join; Veronese variety, curvilinear schemes, CANDECOMP/PARAFAC
Deposit date
18 Oct 2010 08:38
Last modified
16 May 2011 12:14

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