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Article Dans Une Revue Annali della Scuola Normale Superiore di Pisa, Classe di Scienze Année : 2003

On cubics and quartics through a canonical curve

Résumé

We construct families of quartic and cubic hypersurfaces through a canonical curve, which are parametrized by an open subset in a Grassmannian and a Flag variety respectively. Using G. Kempf's cohomological obstruction theory, we show that these families cut out the canonical curve and that the quartics are birational (via a blowing-up of a linear subspace) to quadric bundles over the projective plane, whose Steinerian curve equals the canonical curve.

Dates et versions

hal-00129444 , version 1 (07-02-2007)

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Christian Pauly. On cubics and quartics through a canonical curve. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2003, 5 (2), pp.803-822. ⟨hal-00129444⟩
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