39 citations · 90 across the 21 of their papers we have counts for
24 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…
Geproci sets on skew lines in with two transversals
Luca Chiantini, Pietro De Poi, Lucja Farnik +6
The purpose of this work is to pursue classification of geproci sets. Specifically we classify -geproci sets which consist of points on each of skew lines, assumin…
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…
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…