AbstractWe consider the problem of determining the symmetric tensor rank for symmetric tensors with an algebraic geometry approach. We give algorithms for computing the symmetric rank for 2×⋯×2 tensors and for tensors of small border rank. From a geometric point of view, we describe the symmetric rank strata for some secant varieties of Veronese varieties
We introduce various notions of rank for a high order symmetric tensor taking values over the comple...
We introduce various notions of rank for a high order symmetric tensor taking values over the comple...
We study cubic surfaces as symmetric tensors of format 4 × 4 × 4. We consider the non-symmetric tens...
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...
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algeb...
International audienceWe consider the problem of determining the symmetric tensor rank for symmetric...
AbstractWe consider the problem of determining the symmetric tensor rank for symmetric tensors with ...
International audienceWe consider the problem of determining the symmetric tensor rank for symmetric...
When considering $\sigma_r(X)$, the variety of r-secant $\PP {r-1}$ to a projective variety $X$, one...
A tensor is a multi-dimensional data array, occurring ubiquitously in mathematics, physics, engineer...
We describe the stratification by tensor rank of the points belonging to the tangent developable of ...
We describe the stratification by tensor rank of the points belonging to the tangent developable of ...
We describe the stratification by tensor rank of the points belonging to the tangent developable of ...
We introduce various notions of rank for a high order symmetric tensor taking values over the comple...
We introduce various notions of rank for a high order symmetric tensor taking values over the comple...
We introduce various notions of rank for a high order symmetric tensor taking values over the comple...
We study cubic surfaces as symmetric tensors of format 4 × 4 × 4. We consider the non-symmetric tens...
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...
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algeb...
International audienceWe consider the problem of determining the symmetric tensor rank for symmetric...
AbstractWe consider the problem of determining the symmetric tensor rank for symmetric tensors with ...
International audienceWe consider the problem of determining the symmetric tensor rank for symmetric...
When considering $\sigma_r(X)$, the variety of r-secant $\PP {r-1}$ to a projective variety $X$, one...
A tensor is a multi-dimensional data array, occurring ubiquitously in mathematics, physics, engineer...
We describe the stratification by tensor rank of the points belonging to the tangent developable of ...
We describe the stratification by tensor rank of the points belonging to the tangent developable of ...
We describe the stratification by tensor rank of the points belonging to the tangent developable of ...
We introduce various notions of rank for a high order symmetric tensor taking values over the comple...
We introduce various notions of rank for a high order symmetric tensor taking values over the comple...
We introduce various notions of rank for a high order symmetric tensor taking values over the comple...
We study cubic surfaces as symmetric tensors of format 4 × 4 × 4. We consider the non-symmetric tens...