5 papers
Jacobian algebras and variation of hyperplane sections
Giovanna Ilardi, Abbas Nasrollah Nejad, Saeed Tafazolian
We study the variation in moduli of hyperplane sections of a hypersurface with at most isolated singularities. Using the Milnor algebra , we give…
Veronese Avoiding Hypersurfaces
Giovanna Ilardi, Abbas Nasrollah Nejad, Saeed Tafazolian
We introduce Veronese-Avoiding hypersurfaces, inspired by the theory of associated forms of Alper--Isaev. In the smooth case, we reinterpret their criterion via Macaulay inverse sy…
On Strong Lefschetz Property of 0-dimensional complete intersections and Veronese varieties
Alexandru Dimca, Giovanna Ilardi, Abbas Nasrollah Nejad
We show that the Strong Lefschetz Property in degree 1 for a homogeneous 0-dimensional complete intersection holds if the corresponding associated form, the Macaulay inverse system…
Free curves, Eigenschemes and Pencils of curves
Roberta Di Gennaro, Giovanna Ilardi, Rosa Maria Mirò-Roig +2
Let . A reduced plane curve is if its associated module of tangent derivations is a free -module, or equivale…
Construction of free curves by adding osculating conics to a given cubic curve
Alexandru Dimca, Giovanna Ilardi, Grzegorz Malara +1
In the present article we construct new families of free and nearly free curves starting from a plane cubic curve and adding some of its hyperosculating conics. We present resu…