On cubics and quartics through a canonical curve

Simple item page
dc.creatorPauly, Christian
dc.date2003-04-26
dc.date.accessioned2026-07-07T04:57:26Z
dc.date.available2026-07-07T04:57:26Z
dc.descriptionWe 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0304422
dc.identifierhttp://arxiv.org/abs/math/0304422
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67263
dc.subjectAlgebraic Geometry
dc.subject14H60, 14H42
dc.titleOn cubics and quartics through a canonical curve
dc.typetext

Files

Collections

arXiv