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math.AG2026
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…
math.AG2026
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…
math.AG2024
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…