48 citations · 399 across the 140 of their papers we have counts for
9 papers · 1 filter
Ranks on the boundaries of secant varieties
Edoardo Ballico
In many cases (e.g. for many Segre or Segre embeddings of multiprojective spaces) we prove that a hypersurface of the -secant variety of has -rank $>…
The -secant variety of a smooth curve has a codimension locally closed subset whose points have rank at least
E. Ballico
Take a smooth, connected and non-degenerate projective curve , , defined over an algebraically closed field with characteristic and let…
A note on the cactus rank for Segre-Veronese varieties
Edoardo Ballico, Alessandra Bernardi, Fulvio Gesmundo
We give an upper bound for the cactus rank of any multi-homogeneous polynomial.
On the dimension of contact loci and the identifiability of tensors
Edoardo Ballico, Alessandra Bernardi, Luca Chiantini
Let be an integral and non-degenerate variety. Set . We prove that if the -secant variety of has (the expected) dimension $(k+n-1…
Bounds on the tensor rank
Edoardo Ballico, Alessandra Bernardi, Luca Chiantini +1
We give a sufficient criterion for a lower bound of the cactus rank of a tensor. Then we refine that criterion in order to be able to give an explicit sufficient condition for a no…
Maximal rank of space curves in the range A
Edoardo Ballico, Philippe Ellia, Claudio Fontanari
We prove the following statement, which has been conjectured since 1985: There exists a constant such that for all natural numbers with there exists an ir…