On cubics and quartics through a canonical curve

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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.
16 pages

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Algebraic Geometry, 14H60, 14H42

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http://salesiana.dossiersoluciones.com/handle/123456789/67263

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304422
 http://arxiv.org/abs/math/0304422

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arXiv