39 citations · 90 across the 21 of their papers we have counts for
4 papers · 2 filters
Eight cubes of linear forms in $\p^6$
Giovanna Ilardi, Jean Vallès
Here we explain geometrically why the ideal I = (L 3 1 ,. .. , L 3 8) C[x 0 ,. .. , x 6 ] has the WLP in degree 3 and why it fails to have it in degree 5.
On the Hilbert vector of the Jacobian module of a plane curve
Armando Cerminara, Alexandru Dimca, Giovanna Ilardi
We identify several classes of curves , for which the Hilbert vector of the Jacobian module can be completely determined, namely the 3-syzygy curves, the maximal Tjur…
On the hypersurfaces contained in their Hessian
Pietro De Poi, Giovanna Ilardi
This article presents the theory of focal locus applied to the hypersurfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space i…
Higher order Jacobians, Hessians and Milnor algebras
Alexandru Dimca, Rodrigo Gondim, Giovanna Ilardi
We introduce and study higher order Jacobian ideals, higher order and mixed Hessians, higher order polar maps, and higher order Milnor algebras associated to a reduced projective h…