On the irreducibility of Hessian loci of cubic hypersurfaces

We study the problem of the irreducibility of the Hessian variety ${\mathcal {H}}_f$ associated with a smooth cubic hypersurface $V(f)\subset {\mathbb {P}}^n$ . We prove that when $n\leq 5$ , ${\mathcal {H}}_f$ is normal and irreducible if and only if f is not of Thom-Sebas...

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Bibliographic Details
Main Authors: Davide Bricalli, Filippo Francesco Favale, Gian Pietro Pirola
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509425000362/type/journal_article
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