11 citations · 16 across the 5 of their papers we have counts for
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On the maximal variation problem and Lefschetz pencils
Davide Bricalli, Gian Pietro Pirola
We study the maximal variation problem for linear systems associated with a very ample line bundle, using Hodge theory and Picard-Lefschetz theory. We provide an affirmative answer…
Linear spaces in Hessian loci of cubic hypersurfaces
Davide Bricalli
In this paper we will study the Hessian hypersurface associated with a smooth cubic. We prove that the existence of a Hessian locus, associated with a smooth cubic form f, of dimen…
On the irreducibility of Hessian loci of cubic hypersurfaces
Davide Bricalli, Filippo F. Favale, Gian Pietro Pirola
We study the problem of the irreducibility of the Hessian variety associated with a smooth cubic hypersurface . We prove that when $n\leq5…
Lefschetz properties for jacobian rings of cubic fourfolds and other Artinian algebras
Davide Bricalli, Filippo F. Favale
In this paper, we exploit some geometric-differential techniques to prove the strong Lefschetz property in degree for a complete intersection standard Artinian Gorenstein algeb…
A theorem of Gordan and Noether via Gorenstein rings
Davide Bricalli, Filippo F. Favale, Gian Pietro Pirola
Gordan and Noether proved in their fundamental theorem that an hypersurface with is a cone if and only if has vanishing hessian (i.e. t…