4 papers · 1 filter
Some Classical Invariants, from Harmonic Quadruples to Triangle Groups
Giorgio Ottaviani, Vincenzo Galgano
These notes are an expanded version of the lectures held in Tromso, in May 2025 at the "Lie-Stormer Summer School : Invariant Theory from classics to modern developments", in the f…
Symmetric Persistent Tensors and their Hessian
Masoud Gharahi, Giorgio Ottaviani
Persistent tensors, introduced in [Quantum 8 (2024), 1238], and inspired by quantum information theory, form a recursively defined class of tensors that remain stable under the sub…
The general ternary form can be recovered by its Hessian
Ciro Ciliberto, Giorgio Ottaviani, Jerson Caro +1
The Hessian map is the rational map that sends a homogeneous polynomial to the determinant of its Hessian matrix. We prove that the Hessian map is birational on its image for terna…
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…