124 citations · 658 across the 53 of their papers we have counts for
64 papers
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…
Taylor Polynomials of Rational Functions
Aldo Conca, Simone Naldi, Giorgio Ottaviani +1
A Taylor variety consists of all fixed order Taylor polynomials of rational functions, where the number of variables and degrees of numerators and denominators are fixed. In one va…
On the degree of varieties of sum of squares
Andrew Ferguson, Giorgio Ottaviani, Mohab Safey El Din +1
We study the problem of how many different sums of squares decompositions a general polynomial with SOS-rank admits. We show that there is a link between the variety $\math…