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arXiv · 2111.01087

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

Alexandru Dimca·Gabriel Sticlaru
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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.

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Alexandru Dimca, Gabriel Sticlaru. 2021-11-01. On the birationality of the Hessian maps of quartic curves and cubic surfaces. https://arxiv.org/abs/2111.01087

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