Emanuele Ventura

collaborators

3 papers

math.AG2026

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…

math.CO2026

The ABCT Variety $V (3, n)$ is a Positive Geometry

Dawei Shen, Emanuele Ventura

The ABCT variety $V (3, n)$ is the image closure of the rational Veronese map from the Grassmannian $Gr (2, n)$ to the Grassmannian $Gr (3, n)$ . It was stud…

math.AG2024

Symmetrization maps and minimal border rank Comon's conjecture

Tomasz MaÅdziuk, Emanuele Ventura

One of the fundamental open problems in the field of tensors is the border Comon's conjecture: given a symmetric tensor $F \in (C^{n})^{\otimes d}$ for $d \geq 3$ , its border a…

On defective spans of singular vector tuples beyond the boundary format

The ABCT Variety V(3,n) is a Positive Geometry

Symmetrization maps and minimal border rank Comon's conjecture

The ABCT Variety $V (3, n)$ is a Positive Geometry