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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Abstract

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.

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

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