Displaying similar documents to “Vector bundles on the cone over a curve”

On cubics and quartics through a canonical curve

Christian Pauly (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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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