Geometry on grassmannians and applications to splitting bundles and smoothing cycles
Steven L. Kleiman (1969)
Publications Mathématiques de l'IHÉS
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Displaying similar documents to “Vector bundles on the cone over a curve”
Geometry on grassmannians and applications to splitting bundles and smoothing cycles
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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
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