2 papers
math.AC2025
Free plane curves with a linear Jacobian syzygy
Valentina Beorchia, Matteo Gallet, Alessandro Logar
The study of planar free curves is a very active area of research, but a structural study of such a class is missing. We give a complete classification of the possible generators o…
math.AG2024
Eigenpoint collinearities of plane cubics
Valentina Beorchia, Matteo Gallet, Alessandro Logar
Given a ternary homogeneous polynomial, the fixed points of the map from to itself defined by its gradient are called its eigenpoints. We focus on cubic polynomials,…