Let νd : Pr → PN, denote the degree d Veronese embedding of Pr. For any P ∈ PN, the symmetric tensor rank sr(P) is the minimal cardinality of a set S ⊂ νd(Pr) spanning P. Let S(P) be the set of all A ⊂ Pr such that νd(A) computes sr(P). Here we classify all P ∈ Pn such that sr(P) < 3d/2 and sr(P) is computed by at least two subsets of νd(Pr). For such tensors P ∈ PN, we prove that S(P) has no isolated points
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric ten...
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric ten...
AbstractWe prove a criterion for the identifiability of symmetric tensors P of type 3×⋯×3, d times, ...
Let νd : Pr → PN, denote the degree d Veronese embedding of Pr. For any P ∈ PN, the symmetric tensor...
Let νd : Pr → PN, denote the degree d Veronese embedding of Pr. For any P ∈ PN, the symmetric tensor...
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algeb...
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algeb...
Let X ⊂ P r be an integral and non-degenerate variety. We study when a finite set ...
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algeb...
Let X ⊂ P r be an integral and non-degenerate variety. We study when a finite set ...
AbstractWe consider the problem of determining the symmetric tensor rank for symmetric tensors with ...
If $X\subset \mathbb{P}^n$ is a projective non degenerate variety, the $X$-rank of a point $P\in \m...
If $X\subset \mathbb{P}^n$ is a projective non degenerate variety, the $X$-rank of a point $P\in \m...
If $X\subset \mathbb{P}^n$ is a projective non degenerate variety, the $X$-rank of a point $P\in \m...
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric ten...
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric ten...
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric ten...
AbstractWe prove a criterion for the identifiability of symmetric tensors P of type 3×⋯×3, d times, ...
Let νd : Pr → PN, denote the degree d Veronese embedding of Pr. For any P ∈ PN, the symmetric tensor...
Let νd : Pr → PN, denote the degree d Veronese embedding of Pr. For any P ∈ PN, the symmetric tensor...
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algeb...
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algeb...
Let X ⊂ P r be an integral and non-degenerate variety. We study when a finite set ...
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algeb...
Let X ⊂ P r be an integral and non-degenerate variety. We study when a finite set ...
AbstractWe consider the problem of determining the symmetric tensor rank for symmetric tensors with ...
If $X\subset \mathbb{P}^n$ is a projective non degenerate variety, the $X$-rank of a point $P\in \m...
If $X\subset \mathbb{P}^n$ is a projective non degenerate variety, the $X$-rank of a point $P\in \m...
If $X\subset \mathbb{P}^n$ is a projective non degenerate variety, the $X$-rank of a point $P\in \m...
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric ten...
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric ten...
In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric ten...
AbstractWe prove a criterion for the identifiability of symmetric tensors P of type 3×⋯×3, d times, ...
DOI
Add to ORKG