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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…