2 citations · 4 across the 11 of their papers we have counts for
12 papers
On defective spans of singular vector tuples beyond the boundary format
Ettore Teixeira Turatti, Emanuele Ventura
In this paper, we study tensor spaces beyond the boundary format and analyze whether the general critical space coincides with the general span of singular vector tuples. For all t…
Weak and strong Lefschetz properties for Hartshorne-Rao modules of curves in
Juan Migliore, Uwe Nagel, Chris Peterson +1
Let be a curve over an algebraically closed field of characteristic zero, and let denote its Hartshorne-Rao module. We study how the geometry of i…
On Waring rank jumps via critical rank-one approximations
Alessandro Oneto, Pierpaola Santarsiero, Ettore Teixeira Turatti
We investigate whether eigenvectors, also known as critical rank-one approximations, of a symmetric tensor can be used to increase or decrease its Waring rank. First, we study the…
Quadrature rules with few nodes supported on algebraic curves
Cordian Riener, Ettore Teixeira Turatti
We investigate quadrature rules for measures supported on real algebraic and rational curves, focusing on the {odd-degree} case \(2s-1\). Adopting an optimization viewpoint, we min…
Decomposing tensors via rank-one approximations
Alvaro Ribot, Emil Horobet, Anna Seigal +1
Matrices can be decomposed via rank-one approximations: the best rank-one approximation is a singular vector pair, and the singular value decomposition writes a matrix as a sum of…
Generalized identifiability of sums of squares
Giorgio Ottaviani, Ettore Teixeira Turatti
Let be a homogeneous polynomial of even degree . We study the decompositions where . The minimal number of summands is calle…