On the birationality of the Hessian maps of quartic curves and cubic surfaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909113495060480 |
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| author | Dimca, Alexandru Sticlaru, Gabriel |
| author_facet | Dimca, Alexandru Sticlaru, Gabriel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_01087 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the birationality of the Hessian maps of quartic curves and cubic surfaces Dimca, Alexandru Sticlaru, Gabriel Algebraic Geometry Commutative Algebra 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. |
| title | On the birationality of the Hessian maps of quartic curves and cubic surfaces |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2111.01087 |