JournalsrlmVol. 33, No. 4pp. 885–891

On the birationality of the Hessian maps of quartic curves and cubic surfaces

  • Alexandru Dimca

    Université Côte d’Azur, Nice, France; Simion Stoilow Institute of Mathematics, Bucharest, Romania

  • Gabriel Sticlaru

    Ovidius University, Constanţa, Romania
On the birationality of the Hessian maps of quartic curves and cubic surfaces cover

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Abstract

We show that the Hessian map of quartic plane curves is a birational morphism onto its image, thus bringing new evidence for a very interesting conjecture of Ciro Ciliberto and Giorgio Ottaviani. Our new approach also yields a simpler proof of the similar property for cubic surfaces, which is already known by the work of these two authors.

Cite this article

Alexandru Dimca, Gabriel Sticlaru, On the birationality of the Hessian maps of quartic curves and cubic surfaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 4, pp. 885–891

DOI 10.4171/RLM/991